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Finding the Fourth Proportional to 487,794.56, 731,760.78 and 150,864.73

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Solution

The fourth proportional to 487,794.56, 731,760.78 and 150,864.73 is: 226,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,794.56 : 731,760.78 = 150,864.73 : x
  2. Step 2: Convert to fraction form
    487,794.56/731,760.78 = 150,864.73/x
  3. Step 3: Cross multiply
    487,794.56x = 731,760.78 × 150,864.73
  4. Step 4: Simplify right side
    487,794.56x = 110,396,891,235.63
  5. Step 5: Solve for x
    x = 110,396,891,235.63/487,794.56
  6. Step 6: Final answer
    x = 226,318.42

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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.