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Finding the Fourth Proportional to 322,949.60, 484,366.80 and 204,408.80

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Solution

The fourth proportional to 322,949.60, 484,366.80 and 204,408.80 is: 306,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,949.60 : 484,366.80 = 204,408.80 : x
  2. Step 2: Convert to fraction form
    322,949.60/484,366.80 = 204,408.80/x
  3. Step 3: Cross multiply
    322,949.60x = 484,366.80 × 204,408.80
  4. Step 4: Simplify right side
    322,949.60x = 99,008,836,347.84
  5. Step 5: Solve for x
    x = 99,008,836,347.84/322,949.60
  6. Step 6: Final answer
    x = 306,576.74

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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.