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Finding the Fourth Proportional to 381,737.20, 572,605.80 and 269,762.80

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Solution

The fourth proportional to 381,737.20, 572,605.80 and 269,762.80 is: 404,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,737.20 : 572,605.80 = 269,762.80 : x
  2. Step 2: Convert to fraction form
    381,737.20/572,605.80 = 269,762.80/x
  3. Step 3: Cross multiply
    381,737.20x = 572,605.80 × 269,762.80
  4. Step 4: Simplify right side
    381,737.20x = 154,467,743,904.24
  5. Step 5: Solve for x
    x = 154,467,743,904.24/381,737.20
  6. Step 6: Final answer
    x = 404,644.20

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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.