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Finding the Fourth Proportional to 414,439.38, 571,893.63 and 233,115.21

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Solution

The fourth proportional to 414,439.38, 571,893.63 and 233,115.21 is: 321,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,439.38 : 571,893.63 = 233,115.21 : x
  2. Step 2: Convert to fraction form
    414,439.38/571,893.63 = 233,115.21/x
  3. Step 3: Cross multiply
    414,439.38x = 571,893.63 × 233,115.21
  4. Step 4: Simplify right side
    414,439.38x = 133,317,103,655.11
  5. Step 5: Solve for x
    x = 133,317,103,655.11/414,439.38
  6. Step 6: Final answer
    x = 321,680.59

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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.