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Finding the Fourth Proportional to 416,108.80, 624,163.20 and 166,969.60

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Solution

The fourth proportional to 416,108.80, 624,163.20 and 166,969.60 is: 250,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,108.80 : 624,163.20 = 166,969.60 : x
  2. Step 2: Convert to fraction form
    416,108.80/624,163.20 = 166,969.60/x
  3. Step 3: Cross multiply
    416,108.80x = 624,163.20 × 166,969.60
  4. Step 4: Simplify right side
    416,108.80x = 104,216,279,838.72
  5. Step 5: Solve for x
    x = 104,216,279,838.72/416,108.80
  6. Step 6: Final answer
    x = 250,454.40

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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.