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Finding the Fourth Proportional to 414,083.38, 571,431.62 and 232,796.11

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Solution

The fourth proportional to 414,083.38, 571,431.62 and 232,796.11 is: 321,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083.38 : 571,431.62 = 232,796.11 : x
  2. Step 2: Convert to fraction form
    414,083.38/571,431.62 = 232,796.11/x
  3. Step 3: Cross multiply
    414,083.38x = 571,431.62 × 232,796.11
  4. Step 4: Simplify right side
    414,083.38x = 133,027,058,267.00
  5. Step 5: Solve for x
    x = 133,027,058,267.00/414,083.38
  6. Step 6: Final answer
    x = 321,256.70

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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.