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Finding the Fourth Proportional to 386,761.10, 533,721.96 and 214,668.97

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Solution

The fourth proportional to 386,761.10, 533,721.96 and 214,668.97 is: 296,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,761.10 : 533,721.96 = 214,668.97 : x
  2. Step 2: Convert to fraction form
    386,761.10/533,721.96 = 214,668.97/x
  3. Step 3: Cross multiply
    386,761.10x = 533,721.96 × 214,668.97
  4. Step 4: Simplify right side
    386,761.10x = 114,573,542,085.28
  5. Step 5: Solve for x
    x = 114,573,542,085.28/386,761.10
  6. Step 6: Final answer
    x = 296,238.54

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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.