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Finding the Fourth Proportional to 324,223.30, 486,334.50 and 180,220.66

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Solution

The fourth proportional to 324,223.30, 486,334.50 and 180,220.66 is: 270,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,223.30 : 486,334.50 = 180,220.66 : x
  2. Step 2: Convert to fraction form
    324,223.30/486,334.50 = 180,220.66/x
  3. Step 3: Cross multiply
    324,223.30x = 486,334.50 × 180,220.66
  4. Step 4: Simplify right side
    324,223.30x = 87,647,524,570.77
  5. Step 5: Solve for x
    x = 87,647,524,570.77/324,223.30
  6. Step 6: Final answer
    x = 270,330.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.