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Finding the Fourth Proportional to 516,409.76, 712,619.42 and 286,962.12

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Solution

The fourth proportional to 516,409.76, 712,619.42 and 286,962.12 is: 395,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,409.76 : 712,619.42 = 286,962.12 : x
  2. Step 2: Convert to fraction form
    516,409.76/712,619.42 = 286,962.12/x
  3. Step 3: Cross multiply
    516,409.76x = 712,619.42 × 286,962.12
  4. Step 4: Simplify right side
    516,409.76x = 204,494,775,953.27
  5. Step 5: Solve for x
    x = 204,494,775,953.27/516,409.76
  6. Step 6: Final answer
    x = 395,993.25

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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.