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Finding the Fourth Proportional to 356,414.31, 491,457.72 and 227,148.21

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Solution

The fourth proportional to 356,414.31, 491,457.72 and 227,148.21 is: 313,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,414.31 : 491,457.72 = 227,148.21 : x
  2. Step 2: Convert to fraction form
    356,414.31/491,457.72 = 227,148.21/x
  3. Step 3: Cross multiply
    356,414.31x = 491,457.72 × 227,148.21
  4. Step 4: Simplify right side
    356,414.31x = 111,633,741,388.68
  5. Step 5: Solve for x
    x = 111,633,741,388.68/356,414.31
  6. Step 6: Final answer
    x = 313,213.41

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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.