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Finding the Fourth Proportional to 516,392.76, 712,607.76 and 286,944.12

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Solution

The fourth proportional to 516,392.76, 712,607.76 and 286,944.12 is: 395,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,392.76 : 712,607.76 = 286,944.12 : x
  2. Step 2: Convert to fraction form
    516,392.76/712,607.76 = 286,944.12/x
  3. Step 3: Cross multiply
    516,392.76x = 712,607.76 × 286,944.12
  4. Step 4: Simplify right side
    516,392.76x = 204,478,606,598.37
  5. Step 5: Solve for x
    x = 204,478,606,598.37/516,392.76
  6. Step 6: Final answer
    x = 395,974.97

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Half scale
Find fourth proportional to 1,032,785.52, 1,425,215.52 and 573,888.24
Double scale
Find fourth proportional to 516,393.76, 712,609.14 and 286,945.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.