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Finding the Fourth Proportional to 322,138.48, 444,479.40 and 194,811.52

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Solution

The fourth proportional to 322,138.48, 444,479.40 and 194,811.52 is: 268,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,138.48 : 444,479.40 = 194,811.52 : x
  2. Step 2: Convert to fraction form
    322,138.48/444,479.40 = 194,811.52/x
  3. Step 3: Cross multiply
    322,138.48x = 444,479.40 × 194,811.52
  4. Step 4: Simplify right side
    322,138.48x = 86,589,707,522.69
  5. Step 5: Solve for x
    x = 86,589,707,522.69/322,138.48
  6. Step 6: Final answer
    x = 268,796.54

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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.