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Finding the Fourth Proportional to 422,663.88, 582,295.86 and 295,137.48

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Solution

The fourth proportional to 422,663.88, 582,295.86 and 295,137.48 is: 406,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,663.88 : 582,295.86 = 295,137.48 : x
  2. Step 2: Convert to fraction form
    422,663.88/582,295.86 = 295,137.48/x
  3. Step 3: Cross multiply
    422,663.88x = 582,295.86 × 295,137.48
  4. Step 4: Simplify right side
    422,663.88x = 171,857,332,734.83
  5. Step 5: Solve for x
    x = 171,857,332,734.83/422,663.88
  6. Step 6: Final answer
    x = 406,605.20

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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.