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Finding the Fourth Proportional to 271,761, 407,197.56 and 165,177.56

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Solution

The fourth proportional to 271,761, 407,197.56 and 165,177.56 is: 247,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,761 : 407,197.56 = 165,177.56 : x
  2. Step 2: Convert to fraction form
    271,761/407,197.56 = 165,177.56/x
  3. Step 3: Cross multiply
    271,761x = 407,197.56 × 165,177.56
  4. Step 4: Simplify right side
    271,761x = 67,259,899,398.75
  5. Step 5: Solve for x
    x = 67,259,899,398.75/271,761
  6. Step 6: Final answer
    x = 247,496.51

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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.