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Finding the Fourth Proportional to 378,174.35, 521,880.69 and 206,092.37

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Solution

The fourth proportional to 378,174.35, 521,880.69 and 206,092.37 is: 284,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,174.35 : 521,880.69 = 206,092.37 : x
  2. Step 2: Convert to fraction form
    378,174.35/521,880.69 = 206,092.37/x
  3. Step 3: Cross multiply
    378,174.35x = 521,880.69 × 206,092.37
  4. Step 4: Simplify right side
    378,174.35x = 107,555,625,649.93
  5. Step 5: Solve for x
    x = 107,555,625,649.93/378,174.35
  6. Step 6: Final answer
    x = 284,407.51

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