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Finding the Fourth Proportional to 498,597, 687,714.68 and 337,381.08

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Solution

The fourth proportional to 498,597, 687,714.68 and 337,381.08 is: 465,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,597 : 687,714.68 = 337,381.08 : x
  2. Step 2: Convert to fraction form
    498,597/687,714.68 = 337,381.08/x
  3. Step 3: Cross multiply
    498,597x = 687,714.68 × 337,381.08
  4. Step 4: Simplify right side
    498,597x = 232,021,921,470.25
  5. Step 5: Solve for x
    x = 232,021,921,470.25/498,597
  6. Step 6: Final answer
    x = 465,349.61

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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.