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Finding the Fourth Proportional to 271,761.56, 407,641.80 and 178,245.44

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Solution

The fourth proportional to 271,761.56, 407,641.80 and 178,245.44 is: 267,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,761.56 : 407,641.80 = 178,245.44 : x
  2. Step 2: Convert to fraction form
    271,761.56/407,641.80 = 178,245.44/x
  3. Step 3: Cross multiply
    271,761.56x = 407,641.80 × 178,245.44
  4. Step 4: Simplify right side
    271,761.56x = 72,660,292,003.39
  5. Step 5: Solve for x
    x = 72,660,292,003.39/271,761.56
  6. Step 6: Final answer
    x = 267,367.81

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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.