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Finding the Fourth Proportional to 283,231.72, 422,123.09 and 271,412.20

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Solution

The fourth proportional to 283,231.72, 422,123.09 and 271,412.20 is: 404,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,231.72 : 422,123.09 = 271,412.20 : x
  2. Step 2: Convert to fraction form
    283,231.72/422,123.09 = 271,412.20/x
  3. Step 3: Cross multiply
    283,231.72x = 422,123.09 × 271,412.20
  4. Step 4: Simplify right side
    283,231.72x = 114,569,356,527.70
  5. Step 5: Solve for x
    x = 114,569,356,527.70/283,231.72
  6. Step 6: Final answer
    x = 404,507.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.