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Finding the Fourth Proportional to 620,238.80, 856,022.09 and 378,661.43

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Solution

The fourth proportional to 620,238.80, 856,022.09 and 378,661.43 is: 522,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,238.80 : 856,022.09 = 378,661.43 : x
  2. Step 2: Convert to fraction form
    620,238.80/856,022.09 = 378,661.43/x
  3. Step 3: Cross multiply
    620,238.80x = 856,022.09 × 378,661.43
  4. Step 4: Simplify right side
    620,238.80x = 324,142,542,537.57
  5. Step 5: Solve for x
    x = 324,142,542,537.57/620,238.80
  6. Step 6: Final answer
    x = 522,609.27

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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.