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Finding the Fourth Proportional to 422,363.88, 582,394.95 and 269,159.22

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Solution

The fourth proportional to 422,363.88, 582,394.95 and 269,159.22 is: 371,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,363.88 : 582,394.95 = 269,159.22 : x
  2. Step 2: Convert to fraction form
    422,363.88/582,394.95 = 269,159.22/x
  3. Step 3: Cross multiply
    422,363.88x = 582,394.95 × 269,159.22
  4. Step 4: Simplify right side
    422,363.88x = 156,756,970,473.94
  5. Step 5: Solve for x
    x = 156,756,970,473.94/422,363.88
  6. Step 6: Final answer
    x = 371,141.99

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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.