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Finding the Fourth Proportional to 278,221.56, 417,191.94 and 198,213.78

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Solution

The fourth proportional to 278,221.56, 417,191.94 and 198,213.78 is: 297,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,221.56 : 417,191.94 = 198,213.78 : x
  2. Step 2: Convert to fraction form
    278,221.56/417,191.94 = 198,213.78/x
  3. Step 3: Cross multiply
    278,221.56x = 417,191.94 × 198,213.78
  4. Step 4: Simplify right side
    278,221.56x = 82,693,191,412.93
  5. Step 5: Solve for x
    x = 82,693,191,412.93/278,221.56
  6. Step 6: Final answer
    x = 297,220.64

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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.