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Finding the Fourth Proportional to 416,056.40, 624,084.60 and 166,917.20

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Solution

The fourth proportional to 416,056.40, 624,084.60 and 166,917.20 is: 250,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,056.40 : 624,084.60 = 166,917.20 : x
  2. Step 2: Convert to fraction form
    416,056.40/624,084.60 = 166,917.20/x
  3. Step 3: Cross multiply
    416,056.40x = 624,084.60 × 166,917.20
  4. Step 4: Simplify right side
    416,056.40x = 104,170,453,995.12
  5. Step 5: Solve for x
    x = 104,170,453,995.12/416,056.40
  6. Step 6: Final answer
    x = 250,375.80

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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.