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Finding the Fourth Proportional to 422,013.27, 633,019.91 and 141,529.71

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Solution

The fourth proportional to 422,013.27, 633,019.91 and 141,529.71 is: 212,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,013.27 : 633,019.91 = 141,529.71 : x
  2. Step 2: Convert to fraction form
    422,013.27/633,019.91 = 141,529.71/x
  3. Step 3: Cross multiply
    422,013.27x = 633,019.91 × 141,529.71
  4. Step 4: Simplify right side
    422,013.27x = 89,591,123,578.88
  5. Step 5: Solve for x
    x = 89,591,123,578.88/422,013.27
  6. Step 6: Final answer
    x = 212,294.57

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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.