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Finding the Fourth Proportional to 254,228.40, 381,227.40 and 96,404.40

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Solution

The fourth proportional to 254,228.40, 381,227.40 and 96,404.40 is: 144,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,228.40 : 381,227.40 = 96,404.40 : x
  2. Step 2: Convert to fraction form
    254,228.40/381,227.40 = 96,404.40/x
  3. Step 3: Cross multiply
    254,228.40x = 381,227.40 × 96,404.40
  4. Step 4: Simplify right side
    254,228.40x = 36,751,998,760.56
  5. Step 5: Solve for x
    x = 36,751,998,760.56/254,228.40
  6. Step 6: Final answer
    x = 144,562.92

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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.