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Finding the Fourth Proportional to 297,286.50, 410,253.29 and 161,316.99

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Solution

The fourth proportional to 297,286.50, 410,253.29 and 161,316.99 is: 222,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,286.50 : 410,253.29 = 161,316.99 : x
  2. Step 2: Convert to fraction form
    297,286.50/410,253.29 = 161,316.99/x
  3. Step 3: Cross multiply
    297,286.50x = 410,253.29 × 161,316.99
  4. Step 4: Simplify right side
    297,286.50x = 66,180,823,022.55
  5. Step 5: Solve for x
    x = 66,180,823,022.55/297,286.50
  6. Step 6: Final answer
    x = 222,616.31

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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.