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Finding the Fourth Proportional to 422,757.38, 583,711.37 and 272,116.82

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Solution

The fourth proportional to 422,757.38, 583,711.37 and 272,116.82 is: 375,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,757.38 : 583,711.37 = 272,116.82 : x
  2. Step 2: Convert to fraction form
    422,757.38/583,711.37 = 272,116.82/x
  3. Step 3: Cross multiply
    422,757.38x = 583,711.37 × 272,116.82
  4. Step 4: Simplify right side
    422,757.38x = 158,837,677,523.10
  5. Step 5: Solve for x
    x = 158,837,677,523.10/422,757.38
  6. Step 6: Final answer
    x = 375,718.29

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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.