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Finding the Fourth Proportional to 231,043.20, 346,564.80 and 227,932.80

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Solution

The fourth proportional to 231,043.20, 346,564.80 and 227,932.80 is: 341,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,043.20 : 346,564.80 = 227,932.80 : x
  2. Step 2: Convert to fraction form
    231,043.20/346,564.80 = 227,932.80/x
  3. Step 3: Cross multiply
    231,043.20x = 346,564.80 × 227,932.80
  4. Step 4: Simplify right side
    231,043.20x = 78,993,485,245.44
  5. Step 5: Solve for x
    x = 78,993,485,245.44/231,043.20
  6. Step 6: Final answer
    x = 341,899.20

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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.