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Finding the Fourth Proportional to 416,305.42, 624,469.98 and 131,997.24

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Solution

The fourth proportional to 416,305.42, 624,469.98 and 131,997.24 is: 197,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,305.42 : 624,469.98 = 131,997.24 : x
  2. Step 2: Convert to fraction form
    416,305.42/624,469.98 = 131,997.24/x
  3. Step 3: Cross multiply
    416,305.42x = 624,469.98 × 131,997.24
  4. Step 4: Simplify right side
    416,305.42x = 82,428,315,054.04
  5. Step 5: Solve for x
    x = 82,428,315,054.04/416,305.42
  6. Step 6: Final answer
    x = 197,999.62

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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.