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Finding the Fourth Proportional to 309,550.38, 464,325.57 and 204,344.70

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Solution

The fourth proportional to 309,550.38, 464,325.57 and 204,344.70 is: 306,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,550.38 : 464,325.57 = 204,344.70 : x
  2. Step 2: Convert to fraction form
    309,550.38/464,325.57 = 204,344.70/x
  3. Step 3: Cross multiply
    309,550.38x = 464,325.57 × 204,344.70
  4. Step 4: Simplify right side
    309,550.38x = 94,882,469,303.98
  5. Step 5: Solve for x
    x = 94,882,469,303.98/309,550.38
  6. Step 6: Final answer
    x = 306,517.05

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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.