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Finding the Fourth Proportional to 396,046.30, 594,069.45 and 182,813.80

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Solution

The fourth proportional to 396,046.30, 594,069.45 and 182,813.80 is: 274,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,046.30 : 594,069.45 = 182,813.80 : x
  2. Step 2: Convert to fraction form
    396,046.30/594,069.45 = 182,813.80/x
  3. Step 3: Cross multiply
    396,046.30x = 594,069.45 × 182,813.80
  4. Step 4: Simplify right side
    396,046.30x = 108,604,093,618.41
  5. Step 5: Solve for x
    x = 108,604,093,618.41/396,046.30
  6. Step 6: Final answer
    x = 274,220.70

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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.