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Finding the Fourth Proportional to 289,568.30, 399,469.08 and 182,197.52

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Solution

The fourth proportional to 289,568.30, 399,469.08 and 182,197.52 is: 251,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,568.30 : 399,469.08 = 182,197.52 : x
  2. Step 2: Convert to fraction form
    289,568.30/399,469.08 = 182,197.52/x
  3. Step 3: Cross multiply
    289,568.30x = 399,469.08 × 182,197.52
  4. Step 4: Simplify right side
    289,568.30x = 72,782,275,692.68
  5. Step 5: Solve for x
    x = 72,782,275,692.68/289,568.30
  6. Step 6: Final answer
    x = 251,347.53

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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.