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Finding the Fourth Proportional to 295,682.78, 408,043.50 and 161,546.78

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Solution

The fourth proportional to 295,682.78, 408,043.50 and 161,546.78 is: 222,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,682.78 : 408,043.50 = 161,546.78 : x
  2. Step 2: Convert to fraction form
    295,682.78/408,043.50 = 161,546.78/x
  3. Step 3: Cross multiply
    295,682.78x = 408,043.50 × 161,546.78
  4. Step 4: Simplify right side
    295,682.78x = 65,918,113,524.93
  5. Step 5: Solve for x
    x = 65,918,113,524.93/295,682.78
  6. Step 6: Final answer
    x = 222,935.25

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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.