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Finding the Fourth Proportional to 422,317.62, 582,798.42 and 231,337.80

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Solution

The fourth proportional to 422,317.62, 582,798.42 and 231,337.80 is: 319,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,317.62 : 582,798.42 = 231,337.80 : x
  2. Step 2: Convert to fraction form
    422,317.62/582,798.42 = 231,337.80/x
  3. Step 3: Cross multiply
    422,317.62x = 582,798.42 × 231,337.80
  4. Step 4: Simplify right side
    422,317.62x = 134,823,304,326.28
  5. Step 5: Solve for x
    x = 134,823,304,326.28/422,317.62
  6. Step 6: Final answer
    x = 319,246.22

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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.