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Finding the Fourth Proportional to 321,838.83, 444,072.92 and 194,521.59

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Solution

The fourth proportional to 321,838.83, 444,072.92 and 194,521.59 is: 268,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,838.83 : 444,072.92 = 194,521.59 : x
  2. Step 2: Convert to fraction form
    321,838.83/444,072.92 = 194,521.59/x
  3. Step 3: Cross multiply
    321,838.83x = 444,072.92 × 194,521.59
  4. Step 4: Simplify right side
    321,838.83x = 86,381,769,501.73
  5. Step 5: Solve for x
    x = 86,381,769,501.73/321,838.83
  6. Step 6: Final answer
    x = 268,400.71

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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.