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Finding the Fourth Proportional to 414,084.26, 571,432.82 and 232,797

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Solution

The fourth proportional to 414,084.26, 571,432.82 and 232,797 is: 321,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,084.26 : 571,432.82 = 232,797 : x
  2. Step 2: Convert to fraction form
    414,084.26/571,432.82 = 232,797/x
  3. Step 3: Cross multiply
    414,084.26x = 571,432.82 × 232,797
  4. Step 4: Simplify right side
    414,084.26x = 133,027,846,197.54
  5. Step 5: Solve for x
    x = 133,027,846,197.54/414,084.26
  6. Step 6: Final answer
    x = 321,257.92

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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.