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Finding the Fourth Proportional to 422,340.79, 582,363.26 and 269,136.30

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Solution

The fourth proportional to 422,340.79, 582,363.26 and 269,136.30 is: 371,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,340.79 : 582,363.26 = 269,136.30 : x
  2. Step 2: Convert to fraction form
    422,340.79/582,363.26 = 269,136.30/x
  3. Step 3: Cross multiply
    422,340.79x = 582,363.26 × 269,136.30
  4. Step 4: Simplify right side
    422,340.79x = 156,735,091,706.66
  5. Step 5: Solve for x
    x = 156,735,091,706.66/422,340.79
  6. Step 6: Final answer
    x = 371,110.48

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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.