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Finding the Fourth Proportional to 396,414.76, 594,712.92 and 171,812.92

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Solution

The fourth proportional to 396,414.76, 594,712.92 and 171,812.92 is: 257,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,414.76 : 594,712.92 = 171,812.92 : x
  2. Step 2: Convert to fraction form
    396,414.76/594,712.92 = 171,812.92/x
  3. Step 3: Cross multiply
    396,414.76x = 594,712.92 × 171,812.92
  4. Step 4: Simplify right side
    396,414.76x = 102,179,363,346.93
  5. Step 5: Solve for x
    x = 102,179,363,346.93/396,414.76
  6. Step 6: Final answer
    x = 257,758.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.