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Finding the Fourth Proportional to 422,341.62, 582,831.41 and 231,354.96

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Solution

The fourth proportional to 422,341.62, 582,831.41 and 231,354.96 is: 319,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,341.62 : 582,831.41 = 231,354.96 : x
  2. Step 2: Convert to fraction form
    422,341.62/582,831.41 = 231,354.96/x
  3. Step 3: Cross multiply
    422,341.62x = 582,831.41 × 231,354.96
  4. Step 4: Simplify right side
    422,341.62x = 134,840,936,390.52
  5. Step 5: Solve for x
    x = 134,840,936,390.52/422,341.62
  6. Step 6: Final answer
    x = 319,269.83

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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.