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Finding the Fourth Proportional to 296,195.66, 408,748.77 and 160,229.27

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Solution

The fourth proportional to 296,195.66, 408,748.77 and 160,229.27 is: 221,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,195.66 : 408,748.77 = 160,229.27 : x
  2. Step 2: Convert to fraction form
    296,195.66/408,748.77 = 160,229.27/x
  3. Step 3: Cross multiply
    296,195.66x = 408,748.77 × 160,229.27
  4. Step 4: Simplify right side
    296,195.66x = 65,493,517,120.42
  5. Step 5: Solve for x
    x = 65,493,517,120.42/296,195.66
  6. Step 6: Final answer
    x = 221,115.72

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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.