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Finding the Fourth Proportional to 378,012.57, 521,657.18 and 208,246.69

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Solution

The fourth proportional to 378,012.57, 521,657.18 and 208,246.69 is: 287,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,012.57 : 521,657.18 = 208,246.69 : x
  2. Step 2: Convert to fraction form
    378,012.57/521,657.18 = 208,246.69/x
  3. Step 3: Cross multiply
    378,012.57x = 521,657.18 × 208,246.69
  4. Step 4: Simplify right side
    378,012.57x = 108,633,381,049.73
  5. Step 5: Solve for x
    x = 108,633,381,049.73/378,012.57
  6. Step 6: Final answer
    x = 287,380.34

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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.