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Finding the Fourth Proportional to 422,982.38, 583,855.27 and 378,142.05

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Solution

The fourth proportional to 422,982.38, 583,855.27 and 378,142.05 is: 521,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,982.38 : 583,855.27 = 378,142.05 : x
  2. Step 2: Convert to fraction form
    422,982.38/583,855.27 = 378,142.05/x
  3. Step 3: Cross multiply
    422,982.38x = 583,855.27 × 378,142.05
  4. Step 4: Simplify right side
    422,982.38x = 220,780,228,701.10
  5. Step 5: Solve for x
    x = 220,780,228,701.10/422,982.38
  6. Step 6: Final answer
    x = 521,960.82

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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.