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Finding the Fourth Proportional to 422,357.88, 582,849.24 and 228,760.78

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Solution

The fourth proportional to 422,357.88, 582,849.24 and 228,760.78 is: 315,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,357.88 : 582,849.24 = 228,760.78 : x
  2. Step 2: Convert to fraction form
    422,357.88/582,849.24 = 228,760.78/x
  3. Step 3: Cross multiply
    422,357.88x = 582,849.24 × 228,760.78
  4. Step 4: Simplify right side
    422,357.88x = 133,333,045,307.68
  5. Step 5: Solve for x
    x = 133,333,045,307.68/422,357.88
  6. Step 6: Final answer
    x = 315,687.36

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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.