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Finding the Fourth Proportional to 327,229.76, 490,687.50 and 194,127.32

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Solution

The fourth proportional to 327,229.76, 490,687.50 and 194,127.32 is: 291,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,229.76 : 490,687.50 = 194,127.32 : x
  2. Step 2: Convert to fraction form
    327,229.76/490,687.50 = 194,127.32/x
  3. Step 3: Cross multiply
    327,229.76x = 490,687.50 × 194,127.32
  4. Step 4: Simplify right side
    327,229.76x = 95,255,849,332.50
  5. Step 5: Solve for x
    x = 95,255,849,332.50/327,229.76
  6. Step 6: Final answer
    x = 291,097.76

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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.