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Finding the Fourth Proportional to 498,458.78, 687,884.91 and 272,105.90

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Solution

The fourth proportional to 498,458.78, 687,884.91 and 272,105.90 is: 375,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,458.78 : 687,884.91 = 272,105.90 : x
  2. Step 2: Convert to fraction form
    498,458.78/687,884.91 = 272,105.90/x
  3. Step 3: Cross multiply
    498,458.78x = 687,884.91 × 272,105.90
  4. Step 4: Simplify right side
    498,458.78x = 187,177,542,531.97
  5. Step 5: Solve for x
    x = 187,177,542,531.97/498,458.78
  6. Step 6: Final answer
    x = 375,512.58

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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.