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Finding the Fourth Proportional to 271,861.20, 407,791.80 and 196,822.80

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Solution

The fourth proportional to 271,861.20, 407,791.80 and 196,822.80 is: 295,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,861.20 : 407,791.80 = 196,822.80 : x
  2. Step 2: Convert to fraction form
    271,861.20/407,791.80 = 196,822.80/x
  3. Step 3: Cross multiply
    271,861.20x = 407,791.80 × 196,822.80
  4. Step 4: Simplify right side
    271,861.20x = 80,262,723,893.04
  5. Step 5: Solve for x
    x = 80,262,723,893.04/271,861.20
  6. Step 6: Final answer
    x = 295,234.20

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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.