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Finding the Fourth Proportional to 396,065.80, 594,098.70 and 182,833.30

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Solution

The fourth proportional to 396,065.80, 594,098.70 and 182,833.30 is: 274,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,065.80 : 594,098.70 = 182,833.30 : x
  2. Step 2: Convert to fraction form
    396,065.80/594,098.70 = 182,833.30/x
  3. Step 3: Cross multiply
    396,065.80x = 594,098.70 × 182,833.30
  4. Step 4: Simplify right side
    396,065.80x = 108,621,025,846.71
  5. Step 5: Solve for x
    x = 108,621,025,846.71/396,065.80
  6. Step 6: Final answer
    x = 274,249.95

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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.