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Finding the Fourth Proportional to 416,199.20, 624,183.60 and 166,906.40

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Solution

The fourth proportional to 416,199.20, 624,183.60 and 166,906.40 is: 250,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,199.20 : 624,183.60 = 166,906.40 : x
  2. Step 2: Convert to fraction form
    416,199.20/624,183.60 = 166,906.40/x
  3. Step 3: Cross multiply
    416,199.20x = 624,183.60 × 166,906.40
  4. Step 4: Simplify right side
    416,199.20x = 104,180,237,615.04
  5. Step 5: Solve for x
    x = 104,180,237,615.04/416,199.20
  6. Step 6: Final answer
    x = 250,313.40

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1.5x scale

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.