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Finding the Fourth Proportional to 424,129.71, 636,402.10 and 199,512.81

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Solution

The fourth proportional to 424,129.71, 636,402.10 and 199,512.81 is: 299,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,129.71 : 636,402.10 = 199,512.81 : x
  2. Step 2: Convert to fraction form
    424,129.71/636,402.10 = 199,512.81/x
  3. Step 3: Cross multiply
    424,129.71x = 636,402.10 × 199,512.81
  4. Step 4: Simplify right side
    424,129.71x = 126,970,371,260.90
  5. Step 5: Solve for x
    x = 126,970,371,260.90/424,129.71
  6. Step 6: Final answer
    x = 299,366.84

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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.