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Finding the Fourth Proportional to 378,605.69, 522,479.19 and 206,524.42

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Solution

The fourth proportional to 378,605.69, 522,479.19 and 206,524.42 is: 285,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,605.69 : 522,479.19 = 206,524.42 : x
  2. Step 2: Convert to fraction form
    378,605.69/522,479.19 = 206,524.42/x
  3. Step 3: Cross multiply
    378,605.69x = 522,479.19 × 206,524.42
  4. Step 4: Simplify right side
    378,605.69x = 107,904,712,193.13
  5. Step 5: Solve for x
    x = 107,904,712,193.13/378,605.69
  6. Step 6: Final answer
    x = 285,005.52

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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.