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Finding the Fourth Proportional to 322,408.20, 484,001.10 and 180,366.60

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Solution

The fourth proportional to 322,408.20, 484,001.10 and 180,366.60 is: 270,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,408.20 : 484,001.10 = 180,366.60 : x
  2. Step 2: Convert to fraction form
    322,408.20/484,001.10 = 180,366.60/x
  3. Step 3: Cross multiply
    322,408.20x = 484,001.10 × 180,366.60
  4. Step 4: Simplify right side
    322,408.20x = 87,297,632,803.26
  5. Step 5: Solve for x
    x = 87,297,632,803.26/322,408.20
  6. Step 6: Final answer
    x = 270,767.41

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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.