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Finding the Fourth Proportional to 516,394.76, 712,610.52 and 286,946.12

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Solution

The fourth proportional to 516,394.76, 712,610.52 and 286,946.12 is: 395,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,394.76 : 712,610.52 = 286,946.12 : x
  2. Step 2: Convert to fraction form
    516,394.76/712,610.52 = 286,946.12/x
  3. Step 3: Cross multiply
    516,394.76x = 712,610.52 × 286,946.12
  4. Step 4: Simplify right side
    516,394.76x = 204,480,823,785.18
  5. Step 5: Solve for x
    x = 204,480,823,785.18/516,394.76
  6. Step 6: Final answer
    x = 395,977.73

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Half scale
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Double scale
Find fourth proportional to 516,395.76, 712,611.90 and 286,947.12
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.