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Finding the Fourth Proportional to 396,382.17, 594,350.42 and 130,120.41

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Solution

The fourth proportional to 396,382.17, 594,350.42 and 130,120.41 is: 195,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,382.17 : 594,350.42 = 130,120.41 : x
  2. Step 2: Convert to fraction form
    396,382.17/594,350.42 = 130,120.41/x
  3. Step 3: Cross multiply
    396,382.17x = 594,350.42 × 130,120.41
  4. Step 4: Simplify right side
    396,382.17x = 77,337,119,683.47
  5. Step 5: Solve for x
    x = 77,337,119,683.47/396,382.17
  6. Step 6: Final answer
    x = 195,107.46

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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.