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Finding the Fourth Proportional to 422,283.26, 582,751.06 and 231,299.84

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Solution

The fourth proportional to 422,283.26, 582,751.06 and 231,299.84 is: 319,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,283.26 : 582,751.06 = 231,299.84 : x
  2. Step 2: Convert to fraction form
    422,283.26/582,751.06 = 231,299.84/x
  3. Step 3: Cross multiply
    422,283.26x = 582,751.06 × 231,299.84
  4. Step 4: Simplify right side
    422,283.26x = 134,790,226,937.83
  5. Step 5: Solve for x
    x = 134,790,226,937.83/422,283.26
  6. Step 6: Final answer
    x = 319,193.87

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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.