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Finding the Fourth Proportional to 271,449.10, 407,306.14 and 191,997.56

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Solution

The fourth proportional to 271,449.10, 407,306.14 and 191,997.56 is: 288,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,449.10 : 407,306.14 = 191,997.56 : x
  2. Step 2: Convert to fraction form
    271,449.10/407,306.14 = 191,997.56/x
  3. Step 3: Cross multiply
    271,449.10x = 407,306.14 × 191,997.56
  4. Step 4: Simplify right side
    271,449.10x = 78,201,785,053.02
  5. Step 5: Solve for x
    x = 78,201,785,053.02/271,449.10
  6. Step 6: Final answer
    x = 288,090.05

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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.