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Finding the Fourth Proportional to 322,107.90, 444,520.35 and 178,870.38

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Solution

The fourth proportional to 322,107.90, 444,520.35 and 178,870.38 is: 246,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,107.90 : 444,520.35 = 178,870.38 : x
  2. Step 2: Convert to fraction form
    322,107.90/444,520.35 = 178,870.38/x
  3. Step 3: Cross multiply
    322,107.90x = 444,520.35 × 178,870.38
  4. Step 4: Simplify right side
    322,107.90x = 79,511,523,922.23
  5. Step 5: Solve for x
    x = 79,511,523,922.23/322,107.90
  6. Step 6: Final answer
    x = 246,847.48

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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.