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Finding the Fourth Proportional to 321,801.78, 444,086.40 and 178,584.84

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Solution

The fourth proportional to 321,801.78, 444,086.40 and 178,584.84 is: 246,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,801.78 : 444,086.40 = 178,584.84 : x
  2. Step 2: Convert to fraction form
    321,801.78/444,086.40 = 178,584.84/x
  3. Step 3: Cross multiply
    321,801.78x = 444,086.40 × 178,584.84
  4. Step 4: Simplify right side
    321,801.78x = 79,307,098,690.18
  5. Step 5: Solve for x
    x = 79,307,098,690.18/321,801.78
  6. Step 6: Final answer
    x = 246,447.05

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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.