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Finding the Fourth Proportional to 396,133.34, 594,193.86 and 159,470.24

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Solution

The fourth proportional to 396,133.34, 594,193.86 and 159,470.24 is: 239,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,133.34 : 594,193.86 = 159,470.24 : x
  2. Step 2: Convert to fraction form
    396,133.34/594,193.86 = 159,470.24/x
  3. Step 3: Cross multiply
    396,133.34x = 594,193.86 × 159,470.24
  4. Step 4: Simplify right side
    396,133.34x = 94,756,234,489.76
  5. Step 5: Solve for x
    x = 94,756,234,489.76/396,133.34
  6. Step 6: Final answer
    x = 239,202.88

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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.