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Finding the Fourth Proportional to 396,267.58, 594,420.81 and 159,578.29

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Solution

The fourth proportional to 396,267.58, 594,420.81 and 159,578.29 is: 239,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,267.58 : 594,420.81 = 159,578.29 : x
  2. Step 2: Convert to fraction form
    396,267.58/594,420.81 = 159,578.29/x
  3. Step 3: Cross multiply
    396,267.58x = 594,420.81 × 159,578.29
  4. Step 4: Simplify right side
    396,267.58x = 94,856,656,400.21
  5. Step 5: Solve for x
    x = 94,856,656,400.21/396,267.58
  6. Step 6: Final answer
    x = 239,375.26

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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.