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Finding the Fourth Proportional to 422,312.59, 582,791.62 and 231,329.17

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Solution

The fourth proportional to 422,312.59, 582,791.62 and 231,329.17 is: 319,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,312.59 : 582,791.62 = 231,329.17 : x
  2. Step 2: Convert to fraction form
    422,312.59/582,791.62 = 231,329.17/x
  3. Step 3: Cross multiply
    422,312.59x = 582,791.62 × 231,329.17
  4. Step 4: Simplify right side
    422,312.59x = 134,816,702,315.88
  5. Step 5: Solve for x
    x = 134,816,702,315.88/422,312.59
  6. Step 6: Final answer
    x = 319,234.39

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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.