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Finding the Fourth Proportional to 327,684.36, 452,278.17 and 214,441.50

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Solution

The fourth proportional to 327,684.36, 452,278.17 and 214,441.50 is: 295,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,684.36 : 452,278.17 = 214,441.50 : x
  2. Step 2: Convert to fraction form
    327,684.36/452,278.17 = 214,441.50/x
  3. Step 3: Cross multiply
    327,684.36x = 452,278.17 × 214,441.50
  4. Step 4: Simplify right side
    327,684.36x = 96,987,209,192.06
  5. Step 5: Solve for x
    x = 96,987,209,192.06/327,684.36
  6. Step 6: Final answer
    x = 295,977.54

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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.