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Finding the Fourth Proportional to 498,035.93, 687,512.22 and 337,378.91

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Solution

The fourth proportional to 498,035.93, 687,512.22 and 337,378.91 is: 465,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,035.93 : 687,512.22 = 337,378.91 : x
  2. Step 2: Convert to fraction form
    498,035.93/687,512.22 = 337,378.91/x
  3. Step 3: Cross multiply
    498,035.93x = 687,512.22 × 337,378.91
  4. Step 4: Simplify right side
    498,035.93x = 231,952,123,395.28
  5. Step 5: Solve for x
    x = 231,952,123,395.28/498,035.93
  6. Step 6: Final answer
    x = 465,733.71

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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.