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Finding the Fourth Proportional to 271,982.69, 408,037.86 and 267,464.07

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Solution

The fourth proportional to 271,982.69, 408,037.86 and 267,464.07 is: 401,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,982.69 : 408,037.86 = 267,464.07 : x
  2. Step 2: Convert to fraction form
    271,982.69/408,037.86 = 267,464.07/x
  3. Step 3: Cross multiply
    271,982.69x = 408,037.86 × 267,464.07
  4. Step 4: Simplify right side
    271,982.69x = 109,135,466,749.69
  5. Step 5: Solve for x
    x = 109,135,466,749.69/271,982.69
  6. Step 6: Final answer
    x = 401,258.88

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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.