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Finding the Fourth Proportional to 422,057.68, 582,417.48 and 231,034.48

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Solution

The fourth proportional to 422,057.68, 582,417.48 and 231,034.48 is: 318,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,057.68 : 582,417.48 = 231,034.48 : x
  2. Step 2: Convert to fraction form
    422,057.68/582,417.48 = 231,034.48/x
  3. Step 3: Cross multiply
    422,057.68x = 582,417.48 × 231,034.48
  4. Step 4: Simplify right side
    422,057.68x = 134,558,519,634.71
  5. Step 5: Solve for x
    x = 134,558,519,634.71/422,057.68
  6. Step 6: Final answer
    x = 318,815.47

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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.