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Finding the Fourth Proportional to 296,956.80, 444,560.40 and 197,229.60

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Solution

The fourth proportional to 296,956.80, 444,560.40 and 197,229.60 is: 295,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,956.80 : 444,560.40 = 197,229.60 : x
  2. Step 2: Convert to fraction form
    296,956.80/444,560.40 = 197,229.60/x
  3. Step 3: Cross multiply
    296,956.80x = 444,560.40 × 197,229.60
  4. Step 4: Simplify right side
    296,956.80x = 87,680,469,867.84
  5. Step 5: Solve for x
    x = 87,680,469,867.84/296,956.80
  6. Step 6: Final answer
    x = 295,263.38

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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.