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Finding the Fourth Proportional to 327,231.76, 490,690.50 and 194,129.32

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Solution

The fourth proportional to 327,231.76, 490,690.50 and 194,129.32 is: 291,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,231.76 : 490,690.50 = 194,129.32 : x
  2. Step 2: Convert to fraction form
    327,231.76/490,690.50 = 194,129.32/x
  3. Step 3: Cross multiply
    327,231.76x = 490,690.50 × 194,129.32
  4. Step 4: Simplify right side
    327,231.76x = 95,257,413,095.46
  5. Step 5: Solve for x
    x = 95,257,413,095.46/327,231.76
  6. Step 6: Final answer
    x = 291,100.76

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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.