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Finding the Fourth Proportional to 297,308.54, 410,286.05 and 161,342.49

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Solution

The fourth proportional to 297,308.54, 410,286.05 and 161,342.49 is: 222,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,308.54 : 410,286.05 = 161,342.49 : x
  2. Step 2: Convert to fraction form
    297,308.54/410,286.05 = 161,342.49/x
  3. Step 3: Cross multiply
    297,308.54x = 410,286.05 × 161,342.49
  4. Step 4: Simplify right side
    297,308.54x = 66,196,572,919.26
  5. Step 5: Solve for x
    x = 66,196,572,919.26/297,308.54
  6. Step 6: Final answer
    x = 222,652.78

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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.