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Finding the Fourth Proportional to 498,034.93, 687,510.84 and 337,377.91

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Solution

The fourth proportional to 498,034.93, 687,510.84 and 337,377.91 is: 465,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,034.93 : 687,510.84 = 337,377.91 : x
  2. Step 2: Convert to fraction form
    498,034.93/687,510.84 = 337,377.91/x
  3. Step 3: Cross multiply
    498,034.93x = 687,510.84 × 337,377.91
  4. Step 4: Simplify right side
    498,034.93x = 231,950,970,301.54
  5. Step 5: Solve for x
    x = 231,950,970,301.54/498,034.93
  6. Step 6: Final answer
    x = 465,732.33

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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.