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Finding the Fourth Proportional to 422,361.17, 582,872.91 and 231,374.51

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Solution

The fourth proportional to 422,361.17, 582,872.91 and 231,374.51 is: 319,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,361.17 : 582,872.91 = 231,374.51 : x
  2. Step 2: Convert to fraction form
    422,361.17/582,872.91 = 231,374.51/x
  3. Step 3: Cross multiply
    422,361.17x = 582,872.91 × 231,374.51
  4. Step 4: Simplify right side
    422,361.17x = 134,861,931,029.16
  5. Step 5: Solve for x
    x = 134,861,931,029.16/422,361.17
  6. Step 6: Final answer
    x = 319,304.76

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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.