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Finding the Fourth Proportional to 321,311.48, 481,505.51 and 180,773.24

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Solution

The fourth proportional to 321,311.48, 481,505.51 and 180,773.24 is: 270,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,311.48 : 481,505.51 = 180,773.24 : x
  2. Step 2: Convert to fraction form
    321,311.48/481,505.51 = 180,773.24/x
  3. Step 3: Cross multiply
    321,311.48x = 481,505.51 × 180,773.24
  4. Step 4: Simplify right side
    321,311.48x = 87,043,309,164.96
  5. Step 5: Solve for x
    x = 87,043,309,164.96/321,311.48
  6. Step 6: Final answer
    x = 270,900.10

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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.