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Finding the Fourth Proportional to 269,837.20, 404,410.20 and 207,197.20

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Solution

The fourth proportional to 269,837.20, 404,410.20 and 207,197.20 is: 310,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,837.20 : 404,410.20 = 207,197.20 : x
  2. Step 2: Convert to fraction form
    269,837.20/404,410.20 = 207,197.20/x
  3. Step 3: Cross multiply
    269,837.20x = 404,410.20 × 207,197.20
  4. Step 4: Simplify right side
    269,837.20x = 83,792,661,091.44
  5. Step 5: Solve for x
    x = 83,792,661,091.44/269,837.20
  6. Step 6: Final answer
    x = 310,530.43

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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.