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Finding the Fourth Proportional to 422,128.47, 582,538.25 and 228,538.22

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Solution

The fourth proportional to 422,128.47, 582,538.25 and 228,538.22 is: 315,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,128.47 : 582,538.25 = 228,538.22 : x
  2. Step 2: Convert to fraction form
    422,128.47/582,538.25 = 228,538.22/x
  3. Step 3: Cross multiply
    422,128.47x = 582,538.25 × 228,538.22
  4. Step 4: Simplify right side
    422,128.47x = 133,132,253,594.22
  5. Step 5: Solve for x
    x = 133,132,253,594.22/422,128.47
  6. Step 6: Final answer
    x = 315,383.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.