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Finding the Fourth Proportional to 687,293.38, 948,469.92 and 381,370.96

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Solution

The fourth proportional to 687,293.38, 948,469.92 and 381,370.96 is: 526,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,293.38 : 948,469.92 = 381,370.96 : x
  2. Step 2: Convert to fraction form
    687,293.38/948,469.92 = 381,370.96/x
  3. Step 3: Cross multiply
    687,293.38x = 948,469.92 × 381,370.96
  4. Step 4: Simplify right side
    687,293.38x = 361,718,883,921.52
  5. Step 5: Solve for x
    x = 361,718,883,921.52/687,293.38
  6. Step 6: Final answer
    x = 526,294.73

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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.