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Finding the Fourth Proportional to 327,504.46, 491,302.82 and 114,241.27

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Solution

The fourth proportional to 327,504.46, 491,302.82 and 114,241.27 is: 171,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,504.46 : 491,302.82 = 114,241.27 : x
  2. Step 2: Convert to fraction form
    327,504.46/491,302.82 = 114,241.27/x
  3. Step 3: Cross multiply
    327,504.46x = 491,302.82 × 114,241.27
  4. Step 4: Simplify right side
    327,504.46x = 56,127,057,168.73
  5. Step 5: Solve for x
    x = 56,127,057,168.73/327,504.46
  6. Step 6: Final answer
    x = 171,377.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.