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Finding the Fourth Proportional to 382,082.72, 527,322.64 and 231,180.96

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Solution

The fourth proportional to 382,082.72, 527,322.64 and 231,180.96 is: 319,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,082.72 : 527,322.64 = 231,180.96 : x
  2. Step 2: Convert to fraction form
    382,082.72/527,322.64 = 231,180.96/x
  3. Step 3: Cross multiply
    382,082.72x = 527,322.64 × 231,180.96
  4. Step 4: Simplify right side
    382,082.72x = 121,906,954,144.93
  5. Step 5: Solve for x
    x = 121,906,954,144.93/382,082.72
  6. Step 6: Final answer
    x = 319,059.06

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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.