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Finding the Fourth Proportional to 297,883.58, 411,081.78 and 161,917.48

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Solution

The fourth proportional to 297,883.58, 411,081.78 and 161,917.48 is: 223,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,883.58 : 411,081.78 = 161,917.48 : x
  2. Step 2: Convert to fraction form
    297,883.58/411,081.78 = 161,917.48/x
  3. Step 3: Cross multiply
    297,883.58x = 411,081.78 × 161,917.48
  4. Step 4: Simplify right side
    297,883.58x = 66,561,327,012.56
  5. Step 5: Solve for x
    x = 66,561,327,012.56/297,883.58
  6. Step 6: Final answer
    x = 223,447.46

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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.