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Finding the Fourth Proportional to 416,494.70, 624,739.98 and 100,951.61

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Solution

The fourth proportional to 416,494.70, 624,739.98 and 100,951.61 is: 151,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,494.70 : 624,739.98 = 100,951.61 : x
  2. Step 2: Convert to fraction form
    416,494.70/624,739.98 = 100,951.61/x
  3. Step 3: Cross multiply
    416,494.70x = 624,739.98 × 100,951.61
  4. Step 4: Simplify right side
    416,494.70x = 63,068,504,067.24
  5. Step 5: Solve for x
    x = 63,068,504,067.24/416,494.70
  6. Step 6: Final answer
    x = 151,426.91

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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.