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Finding the Fourth Proportional to 244,205.80, 365,871.30 and 209,213.80

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Solution

The fourth proportional to 244,205.80, 365,871.30 and 209,213.80 is: 313,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,205.80 : 365,871.30 = 209,213.80 : x
  2. Step 2: Convert to fraction form
    244,205.80/365,871.30 = 209,213.80/x
  3. Step 3: Cross multiply
    244,205.80x = 365,871.30 × 209,213.80
  4. Step 4: Simplify right side
    244,205.80x = 76,545,324,983.94
  5. Step 5: Solve for x
    x = 76,545,324,983.94/244,205.80
  6. Step 6: Final answer
    x = 313,445.97

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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.