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Finding the Fourth Proportional to 297,757.39, 410,904.37 and 161,791.81

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Solution

The fourth proportional to 297,757.39, 410,904.37 and 161,791.81 is: 223,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,757.39 : 410,904.37 = 161,791.81 : x
  2. Step 2: Convert to fraction form
    297,757.39/410,904.37 = 161,791.81/x
  3. Step 3: Cross multiply
    297,757.39x = 410,904.37 × 161,791.81
  4. Step 4: Simplify right side
    297,757.39x = 66,480,960,327.47
  5. Step 5: Solve for x
    x = 66,480,960,327.47/297,757.39
  6. Step 6: Final answer
    x = 223,272.24

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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.