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Finding the Fourth Proportional to 327,112.30, 490,167.71 and 220,099.94

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Solution

The fourth proportional to 327,112.30, 490,167.71 and 220,099.94 is: 329,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,112.30 : 490,167.71 = 220,099.94 : x
  2. Step 2: Convert to fraction form
    327,112.30/490,167.71 = 220,099.94/x
  3. Step 3: Cross multiply
    327,112.30x = 490,167.71 × 220,099.94
  4. Step 4: Simplify right side
    327,112.30x = 107,885,883,560.94
  5. Step 5: Solve for x
    x = 107,885,883,560.94/327,112.30
  6. Step 6: Final answer
    x = 329,812.98

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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.