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Finding the Fourth Proportional to 414,080.73, 571,427.97 and 232,793.46

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Solution

The fourth proportional to 414,080.73, 571,427.97 and 232,793.46 is: 321,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,080.73 : 571,427.97 = 232,793.46 : x
  2. Step 2: Convert to fraction form
    414,080.73/571,427.97 = 232,793.46/x
  3. Step 3: Cross multiply
    414,080.73x = 571,427.97 × 232,793.46
  4. Step 4: Simplify right side
    414,080.73x = 133,024,694,277.08
  5. Step 5: Solve for x
    x = 133,024,694,277.08/414,080.73
  6. Step 6: Final answer
    x = 321,253.04

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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.