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Finding the Fourth Proportional to 493,761.72, 681,390.54 and 267,408.12

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Solution

The fourth proportional to 493,761.72, 681,390.54 and 267,408.12 is: 369,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,761.72 : 681,390.54 = 267,408.12 : x
  2. Step 2: Convert to fraction form
    493,761.72/681,390.54 = 267,408.12/x
  3. Step 3: Cross multiply
    493,761.72x = 681,390.54 × 267,408.12
  4. Step 4: Simplify right side
    493,761.72x = 182,209,363,287.19
  5. Step 5: Solve for x
    x = 182,209,363,287.19/493,761.72
  6. Step 6: Final answer
    x = 369,022.86

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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.