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Finding the Fourth Proportional to 444,912.10, 667,072.89 and 311,953.43

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Solution

The fourth proportional to 444,912.10, 667,072.89 and 311,953.43 is: 467,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,912.10 : 667,072.89 = 311,953.43 : x
  2. Step 2: Convert to fraction form
    444,912.10/667,072.89 = 311,953.43/x
  3. Step 3: Cross multiply
    444,912.10x = 667,072.89 × 311,953.43
  4. Step 4: Simplify right side
    444,912.10x = 208,095,677,763.20
  5. Step 5: Solve for x
    x = 208,095,677,763.20/444,912.10
  6. Step 6: Final answer
    x = 467,723.13

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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.