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Finding the Fourth Proportional to 378,283.35, 522,027.69 and 206,201.37

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Solution

The fourth proportional to 378,283.35, 522,027.69 and 206,201.37 is: 284,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283.35 : 522,027.69 = 206,201.37 : x
  2. Step 2: Convert to fraction form
    378,283.35/522,027.69 = 206,201.37/x
  3. Step 3: Cross multiply
    378,283.35x = 522,027.69 × 206,201.37
  4. Step 4: Simplify right side
    378,283.35x = 107,642,824,855.94
  5. Step 5: Solve for x
    x = 107,642,824,855.94/378,283.35
  6. Step 6: Final answer
    x = 284,556.07

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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.