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Finding the Fourth Proportional to 414,083.88, 571,432.31 and 232,796.61

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Solution

The fourth proportional to 414,083.88, 571,432.31 and 232,796.61 is: 321,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083.88 : 571,432.31 = 232,796.61 : x
  2. Step 2: Convert to fraction form
    414,083.88/571,432.31 = 232,796.61/x
  3. Step 3: Cross multiply
    414,083.88x = 571,432.31 × 232,796.61
  4. Step 4: Simplify right side
    414,083.88x = 133,027,503,448.49
  5. Step 5: Solve for x
    x = 133,027,503,448.49/414,083.88
  6. Step 6: Final answer
    x = 321,257.38

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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.