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Finding the Fourth Proportional to 377,940.54, 521,558.67 and 205,857.97

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Solution

The fourth proportional to 377,940.54, 521,558.67 and 205,857.97 is: 284,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,940.54 : 521,558.67 = 205,857.97 : x
  2. Step 2: Convert to fraction form
    377,940.54/521,558.67 = 205,857.97/x
  3. Step 3: Cross multiply
    377,940.54x = 521,558.67 × 205,857.97
  4. Step 4: Simplify right side
    377,940.54x = 107,367,008,240.13
  5. Step 5: Solve for x
    x = 107,367,008,240.13/377,940.54
  6. Step 6: Final answer
    x = 284,084.39

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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.