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Finding the Fourth Proportional to 482,098.10, 723,077.42 and 337,565.43

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Solution

The fourth proportional to 482,098.10, 723,077.42 and 337,565.43 is: 506,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,098.10 : 723,077.42 = 337,565.43 : x
  2. Step 2: Convert to fraction form
    482,098.10/723,077.42 = 337,565.43/x
  3. Step 3: Cross multiply
    482,098.10x = 723,077.42 × 337,565.43
  4. Step 4: Simplify right side
    482,098.10x = 244,085,938,517.76
  5. Step 5: Solve for x
    x = 244,085,938,517.76/482,098.10
  6. Step 6: Final answer
    x = 506,299.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.