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Finding the Fourth Proportional to 378,860.18, 522,819.63 and 206,779.38

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Solution

The fourth proportional to 378,860.18, 522,819.63 and 206,779.38 is: 285,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,860.18 : 522,819.63 = 206,779.38 : x
  2. Step 2: Convert to fraction form
    378,860.18/522,819.63 = 206,779.38/x
  3. Step 3: Cross multiply
    378,860.18x = 522,819.63 × 206,779.38
  4. Step 4: Simplify right side
    378,860.18x = 108,108,318,943.23
  5. Step 5: Solve for x
    x = 108,108,318,943.23/378,860.18
  6. Step 6: Final answer
    x = 285,351.50

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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.