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Finding the Fourth Proportional to 320,814.20, 481,566.90 and 180,846.20

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Solution

The fourth proportional to 320,814.20, 481,566.90 and 180,846.20 is: 271,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,814.20 : 481,566.90 = 180,846.20 : x
  2. Step 2: Convert to fraction form
    320,814.20/481,566.90 = 180,846.20/x
  3. Step 3: Cross multiply
    320,814.20x = 481,566.90 × 180,846.20
  4. Step 4: Simplify right side
    320,814.20x = 87,089,543,910.78
  5. Step 5: Solve for x
    x = 87,089,543,910.78/320,814.20
  6. Step 6: Final answer
    x = 271,464.12

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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.