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Finding the Fourth Proportional to 378,515.06, 522,351.27 and 206,433.39

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Solution

The fourth proportional to 378,515.06, 522,351.27 and 206,433.39 is: 284,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,515.06 : 522,351.27 = 206,433.39 : x
  2. Step 2: Convert to fraction form
    378,515.06/522,351.27 = 206,433.39/x
  3. Step 3: Cross multiply
    378,515.06x = 522,351.27 × 206,433.39
  4. Step 4: Simplify right side
    378,515.06x = 107,830,743,436.91
  5. Step 5: Solve for x
    x = 107,830,743,436.91/378,515.06
  6. Step 6: Final answer
    x = 284,878.35

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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.