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Finding the Fourth Proportional to 295,863.42, 408,291.57 and 159,896.91

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Solution

The fourth proportional to 295,863.42, 408,291.57 and 159,896.91 is: 220,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,863.42 : 408,291.57 = 159,896.91 : x
  2. Step 2: Convert to fraction form
    295,863.42/408,291.57 = 159,896.91/x
  3. Step 3: Cross multiply
    295,863.42x = 408,291.57 × 159,896.91
  4. Step 4: Simplify right side
    295,863.42x = 65,284,560,422.05
  5. Step 5: Solve for x
    x = 65,284,560,422.05/295,863.42
  6. Step 6: Final answer
    x = 220,657.76

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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.