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Finding the Fourth Proportional to 295,700.75, 408,067.40 and 161,564.75

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Solution

The fourth proportional to 295,700.75, 408,067.40 and 161,564.75 is: 222,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,700.75 : 408,067.40 = 161,564.75 : x
  2. Step 2: Convert to fraction form
    295,700.75/408,067.40 = 161,564.75/x
  3. Step 3: Cross multiply
    295,700.75x = 408,067.40 × 161,564.75
  4. Step 4: Simplify right side
    295,700.75x = 65,929,307,464.15
  5. Step 5: Solve for x
    x = 65,929,307,464.15/295,700.75
  6. Step 6: Final answer
    x = 222,959.55

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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.