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Finding the Fourth Proportional to 297,405.06, 410,420.08 and 161,439.27

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Solution

The fourth proportional to 297,405.06, 410,420.08 and 161,439.27 is: 222,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405.06 : 410,420.08 = 161,439.27 : x
  2. Step 2: Convert to fraction form
    297,405.06/410,420.08 = 161,439.27/x
  3. Step 3: Cross multiply
    297,405.06x = 410,420.08 × 161,439.27
  4. Step 4: Simplify right side
    297,405.06x = 66,257,918,108.54
  5. Step 5: Solve for x
    x = 66,257,918,108.54/297,405.06
  6. Step 6: Final answer
    x = 222,786.79

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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.