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Finding the Fourth Proportional to 396,192.25, 594,375.86 and 146,874.25

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Solution

The fourth proportional to 396,192.25, 594,375.86 and 146,874.25 is: 220,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,192.25 : 594,375.86 = 146,874.25 : x
  2. Step 2: Convert to fraction form
    396,192.25/594,375.86 = 146,874.25/x
  3. Step 3: Cross multiply
    396,192.25x = 594,375.86 × 146,874.25
  4. Step 4: Simplify right side
    396,192.25x = 87,298,508,655.61
  5. Step 5: Solve for x
    x = 87,298,508,655.61/396,192.25
  6. Step 6: Final answer
    x = 220,343.81

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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.