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Finding the Fourth Proportional to 498,775.74, 688,306.24 and 272,416.38

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Solution

The fourth proportional to 498,775.74, 688,306.24 and 272,416.38 is: 375,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,775.74 : 688,306.24 = 272,416.38 : x
  2. Step 2: Convert to fraction form
    498,775.74/688,306.24 = 272,416.38/x
  3. Step 3: Cross multiply
    498,775.74x = 688,306.24 × 272,416.38
  4. Step 4: Simplify right side
    498,775.74x = 187,505,894,232.21
  5. Step 5: Solve for x
    x = 187,505,894,232.21/498,775.74
  6. Step 6: Final answer
    x = 375,932.27

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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.