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Finding the Fourth Proportional to 396,712.44, 594,942.29 and 130,411.57

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Solution

The fourth proportional to 396,712.44, 594,942.29 and 130,411.57 is: 195,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,712.44 : 594,942.29 = 130,411.57 : x
  2. Step 2: Convert to fraction form
    396,712.44/594,942.29 = 130,411.57/x
  3. Step 3: Cross multiply
    396,712.44x = 594,942.29 × 130,411.57
  4. Step 4: Simplify right side
    396,712.44x = 77,587,358,098.30
  5. Step 5: Solve for x
    x = 77,587,358,098.30/396,712.44
  6. Step 6: Final answer
    x = 195,575.81

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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.