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Finding the Fourth Proportional to 327,375.32, 490,896.87 and 149,730.11

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Solution

The fourth proportional to 327,375.32, 490,896.87 and 149,730.11 is: 224,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,375.32 : 490,896.87 = 149,730.11 : x
  2. Step 2: Convert to fraction form
    327,375.32/490,896.87 = 149,730.11/x
  3. Step 3: Cross multiply
    327,375.32x = 490,896.87 × 149,730.11
  4. Step 4: Simplify right side
    327,375.32x = 73,502,042,343.76
  5. Step 5: Solve for x
    x = 73,502,042,343.76/327,375.32
  6. Step 6: Final answer
    x = 224,519.19

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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.