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Finding the Fourth Proportional to 376,678.38, 519,816.52 and 206,923.44

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Solution

The fourth proportional to 376,678.38, 519,816.52 and 206,923.44 is: 285,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,678.38 : 519,816.52 = 206,923.44 : x
  2. Step 2: Convert to fraction form
    376,678.38/519,816.52 = 206,923.44/x
  3. Step 3: Cross multiply
    376,678.38x = 519,816.52 × 206,923.44
  4. Step 4: Simplify right side
    376,678.38x = 107,562,222,487.23
  5. Step 5: Solve for x
    x = 107,562,222,487.23/376,678.38
  6. Step 6: Final answer
    x = 285,554.54

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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.