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Finding the Fourth Proportional to 378,778.45, 522,725.38 and 206,707.52

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Solution

The fourth proportional to 378,778.45, 522,725.38 and 206,707.52 is: 285,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,778.45 : 522,725.38 = 206,707.52 : x
  2. Step 2: Convert to fraction form
    378,778.45/522,725.38 = 206,707.52/x
  3. Step 3: Cross multiply
    378,778.45x = 522,725.38 × 206,707.52
  4. Step 4: Simplify right side
    378,778.45x = 108,051,269,186.42
  5. Step 5: Solve for x
    x = 108,051,269,186.42/378,778.45
  6. Step 6: Final answer
    x = 285,262.45

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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.