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Finding the Fourth Proportional to 378,604.77, 522,484.44 and 206,525.64

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Solution

The fourth proportional to 378,604.77, 522,484.44 and 206,525.64 is: 285,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,604.77 : 522,484.44 = 206,525.64 : x
  2. Step 2: Convert to fraction form
    378,604.77/522,484.44 = 206,525.64/x
  3. Step 3: Cross multiply
    378,604.77x = 522,484.44 × 206,525.64
  4. Step 4: Simplify right side
    378,604.77x = 107,906,433,361.04
  5. Step 5: Solve for x
    x = 107,906,433,361.04/378,604.77
  6. Step 6: Final answer
    x = 285,010.76

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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.