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Finding the Fourth Proportional to 376,589.00, 519,696.88 and 206,823.13

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Solution

The fourth proportional to 376,589.00, 519,696.88 and 206,823.13 is: 285,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,589.00 : 519,696.88 = 206,823.13 : x
  2. Step 2: Convert to fraction form
    376,589.00/519,696.88 = 206,823.13/x
  3. Step 3: Cross multiply
    376,589.00x = 519,696.88 × 206,823.13
  4. Step 4: Simplify right side
    376,589.00x = 107,485,333,556.53
  5. Step 5: Solve for x
    x = 107,485,333,556.53/376,589.00
  6. Step 6: Final answer
    x = 285,418.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.