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Finding the Fourth Proportional to 295,708.25, 408,077.39 and 161,572.25

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Solution

The fourth proportional to 295,708.25, 408,077.39 and 161,572.25 is: 222,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,708.25 : 408,077.39 = 161,572.25 : x
  2. Step 2: Convert to fraction form
    295,708.25/408,077.39 = 161,572.25/x
  3. Step 3: Cross multiply
    295,708.25x = 408,077.39 × 161,572.25
  4. Step 4: Simplify right side
    295,708.25x = 65,933,982,076.43
  5. Step 5: Solve for x
    x = 65,933,982,076.43/295,708.25
  6. Step 6: Final answer
    x = 222,969.71

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1.5x scale

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.