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Finding the Fourth Proportional to 422,341.85, 582,831.87 and 231,362.09

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Solution

The fourth proportional to 422,341.85, 582,831.87 and 231,362.09 is: 319,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,341.85 : 582,831.87 = 231,362.09 : x
  2. Step 2: Convert to fraction form
    422,341.85/582,831.87 = 231,362.09/x
  3. Step 3: Cross multiply
    422,341.85x = 582,831.87 × 231,362.09
  4. Step 4: Simplify right side
    422,341.85x = 134,845,198,405.00
  5. Step 5: Solve for x
    x = 134,845,198,405.00/422,341.85
  6. Step 6: Final answer
    x = 319,279.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.