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Finding the Fourth Proportional to 396,207.92, 594,305.40 and 159,544.64

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Solution

The fourth proportional to 396,207.92, 594,305.40 and 159,544.64 is: 239,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,207.92 : 594,305.40 = 159,544.64 : x
  2. Step 2: Convert to fraction form
    396,207.92/594,305.40 = 159,544.64/x
  3. Step 3: Cross multiply
    396,207.92x = 594,305.40 × 159,544.64
  4. Step 4: Simplify right side
    396,207.92x = 94,818,241,093.06
  5. Step 5: Solve for x
    x = 94,818,241,093.06/396,207.92
  6. Step 6: Final answer
    x = 239,314.35

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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.