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Finding the Fourth Proportional to 271,808.80, 407,713.20 and 252,125.80

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Solution

The fourth proportional to 271,808.80, 407,713.20 and 252,125.80 is: 378,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.80 : 407,713.20 = 252,125.80 : x
  2. Step 2: Convert to fraction form
    271,808.80/407,713.20 = 252,125.80/x
  3. Step 3: Cross multiply
    271,808.80x = 407,713.20 × 252,125.80
  4. Step 4: Simplify right side
    271,808.80x = 102,795,016,720.56
  5. Step 5: Solve for x
    x = 102,795,016,720.56/271,808.80
  6. Step 6: Final answer
    x = 378,188.70

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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.