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Finding the Fourth Proportional to 422,104.26, 582,518.52 and 231,118.95

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Solution

The fourth proportional to 422,104.26, 582,518.52 and 231,118.95 is: 318,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,104.26 : 582,518.52 = 231,118.95 : x
  2. Step 2: Convert to fraction form
    422,104.26/582,518.52 = 231,118.95/x
  3. Step 3: Cross multiply
    422,104.26x = 582,518.52 × 231,118.95
  4. Step 4: Simplify right side
    422,104.26x = 134,631,068,697.95
  5. Step 5: Solve for x
    x = 134,631,068,697.95/422,104.26
  6. Step 6: Final answer
    x = 318,952.17

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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.