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Finding the Fourth Proportional to 297,357.27, 410,353.25 and 161,391.21

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Solution

The fourth proportional to 297,357.27, 410,353.25 and 161,391.21 is: 222,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,357.27 : 410,353.25 = 161,391.21 : x
  2. Step 2: Convert to fraction form
    297,357.27/410,353.25 = 161,391.21/x
  3. Step 3: Cross multiply
    297,357.27x = 410,353.25 × 161,391.21
  4. Step 4: Simplify right side
    297,357.27x = 66,227,407,544.93
  5. Step 5: Solve for x
    x = 66,227,407,544.93/297,357.27
  6. Step 6: Final answer
    x = 222,719.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.