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Finding the Fourth Proportional to 493,978.60, 681,691.16 and 267,624.10

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Solution

The fourth proportional to 493,978.60, 681,691.16 and 267,624.10 is: 369,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,978.60 : 681,691.16 = 267,624.10 : x
  2. Step 2: Convert to fraction form
    493,978.60/681,691.16 = 267,624.10/x
  3. Step 3: Cross multiply
    493,978.60x = 681,691.16 × 267,624.10
  4. Step 4: Simplify right side
    493,978.60x = 182,436,978,426.38
  5. Step 5: Solve for x
    x = 182,436,978,426.38/493,978.60
  6. Step 6: Final answer
    x = 369,321.63

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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.