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Finding the Fourth Proportional to 271,717.44, 407,001.60 and 171,826.08

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Solution

The fourth proportional to 271,717.44, 407,001.60 and 171,826.08 is: 257,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,717.44 : 407,001.60 = 171,826.08 : x
  2. Step 2: Convert to fraction form
    271,717.44/407,001.60 = 171,826.08/x
  3. Step 3: Cross multiply
    271,717.44x = 407,001.60 × 171,826.08
  4. Step 4: Simplify right side
    271,717.44x = 69,933,489,481.73
  5. Step 5: Solve for x
    x = 69,933,489,481.73/271,717.44
  6. Step 6: Final answer
    x = 257,375.79

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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.