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Finding the Fourth Proportional to 327,884.40, 491,826.60 and 323,218.80

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Solution

The fourth proportional to 327,884.40, 491,826.60 and 323,218.80 is: 484,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,884.40 : 491,826.60 = 323,218.80 : x
  2. Step 2: Convert to fraction form
    327,884.40/491,826.60 = 323,218.80/x
  3. Step 3: Cross multiply
    327,884.40x = 491,826.60 × 323,218.80
  4. Step 4: Simplify right side
    327,884.40x = 158,967,603,460.08
  5. Step 5: Solve for x
    x = 158,967,603,460.08/327,884.40
  6. Step 6: Final answer
    x = 484,828.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.