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Finding the Fourth Proportional to 381,664.20, 572,496.30 and 269,689.80

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Solution

The fourth proportional to 381,664.20, 572,496.30 and 269,689.80 is: 404,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,664.20 : 572,496.30 = 269,689.80 : x
  2. Step 2: Convert to fraction form
    381,664.20/572,496.30 = 269,689.80/x
  3. Step 3: Cross multiply
    381,664.20x = 572,496.30 × 269,689.80
  4. Step 4: Simplify right side
    381,664.20x = 154,396,412,647.74
  5. Step 5: Solve for x
    x = 154,396,412,647.74/381,664.20
  6. Step 6: Final answer
    x = 404,534.70

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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.