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Finding the Fourth Proportional to 286,105.91, 394,785.78 and 171,357.68

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Solution

The fourth proportional to 286,105.91, 394,785.78 and 171,357.68 is: 236,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,105.91 : 394,785.78 = 171,357.68 : x
  2. Step 2: Convert to fraction form
    286,105.91/394,785.78 = 171,357.68/x
  3. Step 3: Cross multiply
    286,105.91x = 394,785.78 × 171,357.68
  4. Step 4: Simplify right side
    286,105.91x = 67,649,575,357.79
  5. Step 5: Solve for x
    x = 67,649,575,357.79/286,105.91
  6. Step 6: Final answer
    x = 236,449.42

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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.