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Finding the Fourth Proportional to 322,089.57, 444,524.61 and 194,766.07

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Solution

The fourth proportional to 322,089.57, 444,524.61 and 194,766.07 is: 268,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,089.57 : 444,524.61 = 194,766.07 : x
  2. Step 2: Convert to fraction form
    322,089.57/444,524.61 = 194,766.07/x
  3. Step 3: Cross multiply
    322,089.57x = 444,524.61 × 194,766.07
  4. Step 4: Simplify right side
    322,089.57x = 86,578,311,307.98
  5. Step 5: Solve for x
    x = 86,578,311,307.98/322,089.57
  6. Step 6: Final answer
    x = 268,801.97

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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.