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Finding the Fourth Proportional to 394,801.60, 591,327.60 and 324,817.60

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Solution

The fourth proportional to 394,801.60, 591,327.60 and 324,817.60 is: 486,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,801.60 : 591,327.60 = 324,817.60 : x
  2. Step 2: Convert to fraction form
    394,801.60/591,327.60 = 324,817.60/x
  3. Step 3: Cross multiply
    394,801.60x = 591,327.60 × 324,817.60
  4. Step 4: Simplify right side
    394,801.60x = 192,073,611,845.76
  5. Step 5: Solve for x
    x = 192,073,611,845.76/394,801.60
  6. Step 6: Final answer
    x = 486,506.67

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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.