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Finding the Fourth Proportional to 307,841.44, 460,931.78 and 200,960.70

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Solution

The fourth proportional to 307,841.44, 460,931.78 and 200,960.70 is: 300,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,841.44 : 460,931.78 = 200,960.70 : x
  2. Step 2: Convert to fraction form
    307,841.44/460,931.78 = 200,960.70/x
  3. Step 3: Cross multiply
    307,841.44x = 460,931.78 × 200,960.70
  4. Step 4: Simplify right side
    307,841.44x = 92,629,171,087.15
  5. Step 5: Solve for x
    x = 92,629,171,087.15/307,841.44
  6. Step 6: Final answer
    x = 300,898.97

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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.