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Finding the Fourth Proportional to 295,944.26, 408,403.78 and 161,816.90

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Solution

The fourth proportional to 295,944.26, 408,403.78 and 161,816.90 is: 223,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944.26 : 408,403.78 = 161,816.90 : x
  2. Step 2: Convert to fraction form
    295,944.26/408,403.78 = 161,816.90/x
  3. Step 3: Cross multiply
    295,944.26x = 408,403.78 × 161,816.90
  4. Step 4: Simplify right side
    295,944.26x = 66,086,633,627.88
  5. Step 5: Solve for x
    x = 66,086,633,627.88/295,944.26
  6. Step 6: Final answer
    x = 223,307.71

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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.