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Finding the Fourth Proportional to 422,209.38, 582,648.75 and 231,221.10

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Solution

The fourth proportional to 422,209.38, 582,648.75 and 231,221.10 is: 319,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,209.38 : 582,648.75 = 231,221.10 : x
  2. Step 2: Convert to fraction form
    422,209.38/582,648.75 = 231,221.10/x
  3. Step 3: Cross multiply
    422,209.38x = 582,648.75 × 231,221.10
  4. Step 4: Simplify right side
    422,209.38x = 134,720,684,888.63
  5. Step 5: Solve for x
    x = 134,720,684,888.63/422,209.38
  6. Step 6: Final answer
    x = 319,085.01

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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.