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Finding the Fourth Proportional to 498,591.48, 687,707.10 and 337,375.56

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Solution

The fourth proportional to 498,591.48, 687,707.10 and 337,375.56 is: 465,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,591.48 : 687,707.10 = 337,375.56 : x
  2. Step 2: Convert to fraction form
    498,591.48/687,707.10 = 337,375.56/x
  3. Step 3: Cross multiply
    498,591.48x = 687,707.10 × 337,375.56
  4. Step 4: Simplify right side
    498,591.48x = 232,015,567,978.48
  5. Step 5: Solve for x
    x = 232,015,567,978.48/498,591.48
  6. Step 6: Final answer
    x = 465,342.02

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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.