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Finding the Fourth Proportional to 327,227.76, 490,684.50 and 194,125.32

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Solution

The fourth proportional to 327,227.76, 490,684.50 and 194,125.32 is: 291,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,227.76 : 490,684.50 = 194,125.32 : x
  2. Step 2: Convert to fraction form
    327,227.76/490,684.50 = 194,125.32/x
  3. Step 3: Cross multiply
    327,227.76x = 490,684.50 × 194,125.32
  4. Step 4: Simplify right side
    327,227.76x = 95,254,285,581.54
  5. Step 5: Solve for x
    x = 95,254,285,581.54/327,227.76
  6. Step 6: Final answer
    x = 291,094.76

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