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Finding the Fourth Proportional to 442,667.20, 664,087.20 and 189,947.20

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Solution

The fourth proportional to 442,667.20, 664,087.20 and 189,947.20 is: 284,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,667.20 : 664,087.20 = 189,947.20 : x
  2. Step 2: Convert to fraction form
    442,667.20/664,087.20 = 189,947.20/x
  3. Step 3: Cross multiply
    442,667.20x = 664,087.20 × 189,947.20
  4. Step 4: Simplify right side
    442,667.20x = 126,141,504,195.84
  5. Step 5: Solve for x
    x = 126,141,504,195.84/442,667.20
  6. Step 6: Final answer
    x = 284,957.87

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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.