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Finding the Fourth Proportional to 408,286.73, 612,390.50 and 123,979.74

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Solution

The fourth proportional to 408,286.73, 612,390.50 and 123,979.74 is: 185,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,286.73 : 612,390.50 = 123,979.74 : x
  2. Step 2: Convert to fraction form
    408,286.73/612,390.50 = 123,979.74/x
  3. Step 3: Cross multiply
    408,286.73x = 612,390.50 × 123,979.74
  4. Step 4: Simplify right side
    408,286.73x = 75,924,015,424.01
  5. Step 5: Solve for x
    x = 75,924,015,424.01/408,286.73
  6. Step 6: Final answer
    x = 185,957.59

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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.