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Finding the Fourth Proportional to 384,436.64, 576,861.84 and 159,951.92

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Solution

The fourth proportional to 384,436.64, 576,861.84 and 159,951.92 is: 240,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,436.64 : 576,861.84 = 159,951.92 : x
  2. Step 2: Convert to fraction form
    384,436.64/576,861.84 = 159,951.92/x
  3. Step 3: Cross multiply
    384,436.64x = 576,861.84 × 159,951.92
  4. Step 4: Simplify right side
    384,436.64x = 92,270,158,882.73
  5. Step 5: Solve for x
    x = 92,270,158,882.73/384,436.64
  6. Step 6: Final answer
    x = 240,013.96

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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.