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Finding the Fourth Proportional to 271,717.38, 407,575.80 and 178,201.26

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Solution

The fourth proportional to 271,717.38, 407,575.80 and 178,201.26 is: 267,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,717.38 : 407,575.80 = 178,201.26 : x
  2. Step 2: Convert to fraction form
    271,717.38/407,575.80 = 178,201.26/x
  3. Step 3: Cross multiply
    271,717.38x = 407,575.80 × 178,201.26
  4. Step 4: Simplify right side
    271,717.38x = 72,630,521,105.51
  5. Step 5: Solve for x
    x = 72,630,521,105.51/271,717.38
  6. Step 6: Final answer
    x = 267,301.71

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1.5x scale

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.