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Finding the Fourth Proportional to 378,802.92, 522,731.68 and 206,716.56

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Solution

The fourth proportional to 378,802.92, 522,731.68 and 206,716.56 is: 285,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,802.92 : 522,731.68 = 206,716.56 : x
  2. Step 2: Convert to fraction form
    378,802.92/522,731.68 = 206,716.56/x
  3. Step 3: Cross multiply
    378,802.92x = 522,731.68 × 206,716.56
  4. Step 4: Simplify right side
    378,802.92x = 108,057,294,692.62
  5. Step 5: Solve for x
    x = 108,057,294,692.62/378,802.92
  6. Step 6: Final answer
    x = 285,259.93

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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.