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Finding the Fourth Proportional to 442,423.57, 663,214.89 and 282,049.42

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Solution

The fourth proportional to 442,423.57, 663,214.89 and 282,049.42 is: 422,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,423.57 : 663,214.89 = 282,049.42 : x
  2. Step 2: Convert to fraction form
    442,423.57/663,214.89 = 282,049.42/x
  3. Step 3: Cross multiply
    442,423.57x = 663,214.89 × 282,049.42
  4. Step 4: Simplify right side
    442,423.57x = 187,059,372,251.22
  5. Step 5: Solve for x
    x = 187,059,372,251.22/442,423.57
  6. Step 6: Final answer
    x = 422,806.07

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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.