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Finding the Fourth Proportional to 295,782.56, 443,748.64 and 82,550.44

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Solution

The fourth proportional to 295,782.56, 443,748.64 and 82,550.44 is: 123,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,782.56 : 443,748.64 = 82,550.44 : x
  2. Step 2: Convert to fraction form
    295,782.56/443,748.64 = 82,550.44/x
  3. Step 3: Cross multiply
    295,782.56x = 443,748.64 × 82,550.44
  4. Step 4: Simplify right side
    295,782.56x = 36,631,645,481.40
  5. Step 5: Solve for x
    x = 36,631,645,481.40/295,782.56
  6. Step 6: Final answer
    x = 123,846.54

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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.