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Finding the Fourth Proportional to 418,647.80, 577,738.08 and 227,665.34

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Solution

The fourth proportional to 418,647.80, 577,738.08 and 227,665.34 is: 314,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,647.80 : 577,738.08 = 227,665.34 : x
  2. Step 2: Convert to fraction form
    418,647.80/577,738.08 = 227,665.34/x
  3. Step 3: Cross multiply
    418,647.80x = 577,738.08 × 227,665.34
  4. Step 4: Simplify right side
    418,647.80x = 131,530,936,414.15
  5. Step 5: Solve for x
    x = 131,530,936,414.15/418,647.80
  6. Step 6: Final answer
    x = 314,180.41

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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.