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Finding the Fourth Proportional to 327,076.43, 490,805.00 and 137,523.06

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Solution

The fourth proportional to 327,076.43, 490,805.00 and 137,523.06 is: 206,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,076.43 : 490,805.00 = 137,523.06 : x
  2. Step 2: Convert to fraction form
    327,076.43/490,805.00 = 137,523.06/x
  3. Step 3: Cross multiply
    327,076.43x = 490,805.00 × 137,523.06
  4. Step 4: Simplify right side
    327,076.43x = 67,497,006,616.20
  5. Step 5: Solve for x
    x = 67,497,006,616.20/327,076.43
  6. Step 6: Final answer
    x = 206,364.63

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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.