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Finding the Fourth Proportional to 382,067.76, 527,252.12 and 209,997.34

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Solution

The fourth proportional to 382,067.76, 527,252.12 and 209,997.34 is: 289,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,067.76 : 527,252.12 = 209,997.34 : x
  2. Step 2: Convert to fraction form
    382,067.76/527,252.12 = 209,997.34/x
  3. Step 3: Cross multiply
    382,067.76x = 527,252.12 × 209,997.34
  4. Step 4: Simplify right side
    382,067.76x = 110,721,542,709.36
  5. Step 5: Solve for x
    x = 110,721,542,709.36/382,067.76
  6. Step 6: Final answer
    x = 289,795.57

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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.