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Finding the Fourth Proportional to 297,286.77, 410,253.66 and 161,317.26

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Solution

The fourth proportional to 297,286.77, 410,253.66 and 161,317.26 is: 222,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,286.77 : 410,253.66 = 161,317.26 : x
  2. Step 2: Convert to fraction form
    297,286.77/410,253.66 = 161,317.26/x
  3. Step 3: Cross multiply
    297,286.77x = 410,253.66 × 161,317.26
  4. Step 4: Simplify right side
    297,286.77x = 66,180,996,336.17
  5. Step 5: Solve for x
    x = 66,180,996,336.17/297,286.77
  6. Step 6: Final answer
    x = 222,616.69

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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.