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Finding the Fourth Proportional to 422,664.88, 582,297.24 and 295,138.48

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Solution

The fourth proportional to 422,664.88, 582,297.24 and 295,138.48 is: 406,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,664.88 : 582,297.24 = 295,138.48 : x
  2. Step 2: Convert to fraction form
    422,664.88/582,297.24 = 295,138.48/x
  3. Step 3: Cross multiply
    422,664.88x = 582,297.24 × 295,138.48
  4. Step 4: Simplify right side
    422,664.88x = 171,858,322,321.80
  5. Step 5: Solve for x
    x = 171,858,322,321.80/422,664.88
  6. Step 6: Final answer
    x = 406,606.58

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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.