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Finding the Fourth Proportional to 514,432.47, 709,909.14 and 284,989.28

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Solution

The fourth proportional to 514,432.47, 709,909.14 and 284,989.28 is: 393,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,432.47 : 709,909.14 = 284,989.28 : x
  2. Step 2: Convert to fraction form
    514,432.47/709,909.14 = 284,989.28/x
  3. Step 3: Cross multiply
    514,432.47x = 709,909.14 × 284,989.28
  4. Step 4: Simplify right side
    514,432.47x = 202,316,491,124.47
  5. Step 5: Solve for x
    x = 202,316,491,124.47/514,432.47
  6. Step 6: Final answer
    x = 393,280.95

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