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Finding the Fourth Proportional to 396,205.92, 594,302.40 and 159,542.64

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Solution

The fourth proportional to 396,205.92, 594,302.40 and 159,542.64 is: 239,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,205.92 : 594,302.40 = 159,542.64 : x
  2. Step 2: Convert to fraction form
    396,205.92/594,302.40 = 159,542.64/x
  3. Step 3: Cross multiply
    396,205.92x = 594,302.40 × 159,542.64
  4. Step 4: Simplify right side
    396,205.92x = 94,816,573,854.34
  5. Step 5: Solve for x
    x = 94,816,573,854.34/396,205.92
  6. Step 6: Final answer
    x = 239,311.35

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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.