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Finding the Fourth Proportional to 414,080.60, 571,427.79 and 232,793.34

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Solution

The fourth proportional to 414,080.60, 571,427.79 and 232,793.34 is: 321,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,080.60 : 571,427.79 = 232,793.34 : x
  2. Step 2: Convert to fraction form
    414,080.60/571,427.79 = 232,793.34/x
  3. Step 3: Cross multiply
    414,080.60x = 571,427.79 × 232,793.34
  4. Step 4: Simplify right side
    414,080.60x = 133,024,579,781.81
  5. Step 5: Solve for x
    x = 133,024,579,781.81/414,080.60
  6. Step 6: Final answer
    x = 321,252.87

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