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Finding the Fourth Proportional to 422,361.66, 582,873.60 and 231,375

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Solution

The fourth proportional to 422,361.66, 582,873.60 and 231,375 is: 319,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,361.66 : 582,873.60 = 231,375 : x
  2. Step 2: Convert to fraction form
    422,361.66/582,873.60 = 231,375/x
  3. Step 3: Cross multiply
    422,361.66x = 582,873.60 × 231,375
  4. Step 4: Simplify right side
    422,361.66x = 134,862,379,200
  5. Step 5: Solve for x
    x = 134,862,379,200/422,361.66
  6. Step 6: Final answer
    x = 319,305.45

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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.