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Finding the Fourth Proportional to 416,020.68, 624,108.96 and 166,722.12

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Solution

The fourth proportional to 416,020.68, 624,108.96 and 166,722.12 is: 250,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,020.68 : 624,108.96 = 166,722.12 : x
  2. Step 2: Convert to fraction form
    416,020.68/624,108.96 = 166,722.12/x
  3. Step 3: Cross multiply
    416,020.68x = 624,108.96 × 166,722.12
  4. Step 4: Simplify right side
    416,020.68x = 104,052,768,922.20
  5. Step 5: Solve for x
    x = 104,052,768,922.20/416,020.68
  6. Step 6: Final answer
    x = 250,114.41

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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.