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Finding the Fourth Proportional to 396,972.92, 595,458.48 and 172,304.24

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Solution

The fourth proportional to 396,972.92, 595,458.48 and 172,304.24 is: 258,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,972.92 : 595,458.48 = 172,304.24 : x
  2. Step 2: Convert to fraction form
    396,972.92/595,458.48 = 172,304.24/x
  3. Step 3: Cross multiply
    396,972.92x = 595,458.48 × 172,304.24
  4. Step 4: Simplify right side
    396,972.92x = 102,600,020,847.96
  5. Step 5: Solve for x
    x = 102,600,020,847.96/396,972.92
  6. Step 6: Final answer
    x = 258,455.97

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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.