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Finding the Fourth Proportional to 498,195.13, 747,691.22 and 261,677.29

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Solution

The fourth proportional to 498,195.13, 747,691.22 and 261,677.29 is: 392,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,195.13 : 747,691.22 = 261,677.29 : x
  2. Step 2: Convert to fraction form
    498,195.13/747,691.22 = 261,677.29/x
  3. Step 3: Cross multiply
    498,195.13x = 747,691.22 × 261,677.29
  4. Step 4: Simplify right side
    498,195.13x = 195,653,812,206.39
  5. Step 5: Solve for x
    x = 195,653,812,206.39/498,195.13
  6. Step 6: Final answer
    x = 392,725.26

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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.