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Finding the Fourth Proportional to 327,633.74, 491,274.43 and 192,744.44

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Solution

The fourth proportional to 327,633.74, 491,274.43 and 192,744.44 is: 289,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,633.74 : 491,274.43 = 192,744.44 : x
  2. Step 2: Convert to fraction form
    327,633.74/491,274.43 = 192,744.44/x
  3. Step 3: Cross multiply
    327,633.74x = 491,274.43 × 192,744.44
  4. Step 4: Simplify right side
    327,633.74x = 94,690,414,896.67
  5. Step 5: Solve for x
    x = 94,690,414,896.67/327,633.74
  6. Step 6: Final answer
    x = 289,013.01

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Why These Related Problems?

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