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Finding the Fourth Proportional to 322,406.20, 483,998.10 and 180,364.60

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Solution

The fourth proportional to 322,406.20, 483,998.10 and 180,364.60 is: 270,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406.20 : 483,998.10 = 180,364.60 : x
  2. Step 2: Convert to fraction form
    322,406.20/483,998.10 = 180,364.60/x
  3. Step 3: Cross multiply
    322,406.20x = 483,998.10 × 180,364.60
  4. Step 4: Simplify right side
    322,406.20x = 87,296,123,707.26
  5. Step 5: Solve for x
    x = 87,296,123,707.26/322,406.20
  6. Step 6: Final answer
    x = 270,764.41

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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.