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Finding the Fourth Proportional to 355,873.38, 491,105.26 and 194,728.44

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Solution

The fourth proportional to 355,873.38, 491,105.26 and 194,728.44 is: 268,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,873.38 : 491,105.26 = 194,728.44 : x
  2. Step 2: Convert to fraction form
    355,873.38/491,105.26 = 194,728.44/x
  3. Step 3: Cross multiply
    355,873.38x = 491,105.26 × 194,728.44
  4. Step 4: Simplify right side
    355,873.38x = 95,632,161,155.59
  5. Step 5: Solve for x
    x = 95,632,161,155.59/355,873.38
  6. Step 6: Final answer
    x = 268,725.24

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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.