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Finding the Fourth Proportional to 418,034.56, 576,891.84 and 227,049.92

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Solution

The fourth proportional to 418,034.56, 576,891.84 and 227,049.92 is: 313,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,034.56 : 576,891.84 = 227,049.92 : x
  2. Step 2: Convert to fraction form
    418,034.56/576,891.84 = 227,049.92/x
  3. Step 3: Cross multiply
    418,034.56x = 576,891.84 × 227,049.92
  4. Step 4: Simplify right side
    418,034.56x = 130,983,246,120.65
  5. Step 5: Solve for x
    x = 130,983,246,120.65/418,034.56
  6. Step 6: Final answer
    x = 313,331.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.