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Finding the Fourth Proportional to 422,107.14, 582,508.08 and 231,120.48

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Solution

The fourth proportional to 422,107.14, 582,508.08 and 231,120.48 is: 318,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,107.14 : 582,508.08 = 231,120.48 : x
  2. Step 2: Convert to fraction form
    422,107.14/582,508.08 = 231,120.48/x
  3. Step 3: Cross multiply
    422,107.14x = 582,508.08 × 231,120.48
  4. Step 4: Simplify right side
    422,107.14x = 134,629,547,053.48
  5. Step 5: Solve for x
    x = 134,629,547,053.48/422,107.14
  6. Step 6: Final answer
    x = 318,946.39

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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.