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Finding the Fourth Proportional to 397,382.53, 548,402.31 and 227,649.46

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Solution

The fourth proportional to 397,382.53, 548,402.31 and 227,649.46 is: 314,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,382.53 : 548,402.31 = 227,649.46 : x
  2. Step 2: Convert to fraction form
    397,382.53/548,402.31 = 227,649.46/x
  3. Step 3: Cross multiply
    397,382.53x = 548,402.31 × 227,649.46
  4. Step 4: Simplify right side
    397,382.53x = 124,843,489,734.25
  5. Step 5: Solve for x
    x = 124,843,489,734.25/397,382.53
  6. Step 6: Final answer
    x = 314,164.51

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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.