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Finding the Fourth Proportional to 416,207.20, 624,195.60 and 166,914.40

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Solution

The fourth proportional to 416,207.20, 624,195.60 and 166,914.40 is: 250,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,207.20 : 624,195.60 = 166,914.40 : x
  2. Step 2: Convert to fraction form
    416,207.20/624,195.60 = 166,914.40/x
  3. Step 3: Cross multiply
    416,207.20x = 624,195.60 × 166,914.40
  4. Step 4: Simplify right side
    416,207.20x = 104,187,234,056.64
  5. Step 5: Solve for x
    x = 104,187,234,056.64/416,207.20
  6. Step 6: Final answer
    x = 250,325.40

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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.