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Finding the Fourth Proportional to 422,341.87, 582,831.75 and 231,355.21

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Solution

The fourth proportional to 422,341.87, 582,831.75 and 231,355.21 is: 319,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,341.87 : 582,831.75 = 231,355.21 : x
  2. Step 2: Convert to fraction form
    422,341.87/582,831.75 = 231,355.21/x
  3. Step 3: Cross multiply
    422,341.87x = 582,831.75 × 231,355.21
  4. Step 4: Simplify right side
    422,341.87x = 134,841,161,915.92
  5. Step 5: Solve for x
    x = 134,841,161,915.92/422,341.87
  6. Step 6: Final answer
    x = 319,270.17

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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.