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Finding the Fourth Proportional to 516,598.09, 712,856.43 and 287,128.13

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Solution

The fourth proportional to 516,598.09, 712,856.43 and 287,128.13 is: 396,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,598.09 : 712,856.43 = 287,128.13 : x
  2. Step 2: Convert to fraction form
    516,598.09/712,856.43 = 287,128.13/x
  3. Step 3: Cross multiply
    516,598.09x = 712,856.43 × 287,128.13
  4. Step 4: Simplify right side
    516,598.09x = 204,681,130,140.09
  5. Step 5: Solve for x
    x = 204,681,130,140.09/516,598.09
  6. Step 6: Final answer
    x = 396,209.62

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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.