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Finding the Fourth Proportional to 422,232.36, 582,658.92 and 231,208.80

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Solution

The fourth proportional to 422,232.36, 582,658.92 and 231,208.80 is: 319,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,232.36 : 582,658.92 = 231,208.80 : x
  2. Step 2: Convert to fraction form
    422,232.36/582,658.92 = 231,208.80/x
  3. Step 3: Cross multiply
    422,232.36x = 582,658.92 × 231,208.80
  4. Step 4: Simplify right side
    422,232.36x = 134,715,869,702.50
  5. Step 5: Solve for x
    x = 134,715,869,702.50/422,232.36
  6. Step 6: Final answer
    x = 319,056.24

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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.