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Finding the Fourth Proportional to 396,069.80, 594,104.70 and 182,837.30

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Solution

The fourth proportional to 396,069.80, 594,104.70 and 182,837.30 is: 274,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,069.80 : 594,104.70 = 182,837.30 : x
  2. Step 2: Convert to fraction form
    396,069.80/594,104.70 = 182,837.30/x
  3. Step 3: Cross multiply
    396,069.80x = 594,104.70 × 182,837.30
  4. Step 4: Simplify right side
    396,069.80x = 108,624,499,265.31
  5. Step 5: Solve for x
    x = 108,624,499,265.31/396,069.80
  6. Step 6: Final answer
    x = 274,255.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.