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Finding the Fourth Proportional to 300,250.56, 414,414.96 and 198,296.16

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Solution

The fourth proportional to 300,250.56, 414,414.96 and 198,296.16 is: 273,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,250.56 : 414,414.96 = 198,296.16 : x
  2. Step 2: Convert to fraction form
    300,250.56/414,414.96 = 198,296.16/x
  3. Step 3: Cross multiply
    300,250.56x = 414,414.96 × 198,296.16
  4. Step 4: Simplify right side
    300,250.56x = 82,176,895,214.55
  5. Step 5: Solve for x
    x = 82,176,895,214.55/300,250.56
  6. Step 6: Final answer
    x = 273,694.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.