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Finding the Fourth Proportional to 297,405.25, 410,408.13 and 161,436.30

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Solution

The fourth proportional to 297,405.25, 410,408.13 and 161,436.30 is: 222,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405.25 : 410,408.13 = 161,436.30 : x
  2. Step 2: Convert to fraction form
    297,405.25/410,408.13 = 161,436.30/x
  3. Step 3: Cross multiply
    297,405.25x = 410,408.13 × 161,436.30
  4. Step 4: Simplify right side
    297,405.25x = 66,254,769,997.12
  5. Step 5: Solve for x
    x = 66,254,769,997.12/297,405.25
  6. Step 6: Final answer
    x = 222,776.06

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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.