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Finding the Fourth Proportional to 396,238.68, 594,505.98 and 159,648.48

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Solution

The fourth proportional to 396,238.68, 594,505.98 and 159,648.48 is: 239,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,238.68 : 594,505.98 = 159,648.48 : x
  2. Step 2: Convert to fraction form
    396,238.68/594,505.98 = 159,648.48/x
  3. Step 3: Cross multiply
    396,238.68x = 594,505.98 × 159,648.48
  4. Step 4: Simplify right side
    396,238.68x = 94,911,976,057.91
  5. Step 5: Solve for x
    x = 94,911,976,057.91/396,238.68
  6. Step 6: Final answer
    x = 239,532.33

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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.