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Finding the Fourth Proportional to 378,914.66, 522,865.01 and 209,137.85

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Solution

The fourth proportional to 378,914.66, 522,865.01 and 209,137.85 is: 288,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,914.66 : 522,865.01 = 209,137.85 : x
  2. Step 2: Convert to fraction form
    378,914.66/522,865.01 = 209,137.85/x
  3. Step 3: Cross multiply
    378,914.66x = 522,865.01 × 209,137.85
  4. Step 4: Simplify right side
    378,914.66x = 109,350,860,371.61
  5. Step 5: Solve for x
    x = 109,350,860,371.61/378,914.66
  6. Step 6: Final answer
    x = 288,589.68

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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.