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Finding the Fourth Proportional to 493,764.43, 681,394.92 and 267,409.93

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Solution

The fourth proportional to 493,764.43, 681,394.92 and 267,409.93 is: 369,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,764.43 : 681,394.92 = 267,409.93 : x
  2. Step 2: Convert to fraction form
    493,764.43/681,394.92 = 267,409.93/x
  3. Step 3: Cross multiply
    493,764.43x = 681,394.92 × 267,409.93
  4. Step 4: Simplify right side
    493,764.43x = 182,211,770,057.62
  5. Step 5: Solve for x
    x = 182,211,770,057.62/493,764.43
  6. Step 6: Final answer
    x = 369,025.71

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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.