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Finding the Fourth Proportional to 327,682.36, 452,275.41 and 214,439.50

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Solution

The fourth proportional to 327,682.36, 452,275.41 and 214,439.50 is: 295,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,682.36 : 452,275.41 = 214,439.50 : x
  2. Step 2: Convert to fraction form
    327,682.36/452,275.41 = 214,439.50/x
  3. Step 3: Cross multiply
    327,682.36x = 452,275.41 × 214,439.50
  4. Step 4: Simplify right side
    327,682.36x = 96,985,712,782.70
  5. Step 5: Solve for x
    x = 96,985,712,782.70/327,682.36
  6. Step 6: Final answer
    x = 295,974.78

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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.