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Finding the Fourth Proportional to 414,060.20, 620,936.70 and 164,690.60

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Solution

The fourth proportional to 414,060.20, 620,936.70 and 164,690.60 is: 246,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,060.20 : 620,936.70 = 164,690.60 : x
  2. Step 2: Convert to fraction form
    414,060.20/620,936.70 = 164,690.60/x
  3. Step 3: Cross multiply
    414,060.20x = 620,936.70 × 164,690.60
  4. Step 4: Simplify right side
    414,060.20x = 102,262,437,685.02
  5. Step 5: Solve for x
    x = 102,262,437,685.02/414,060.20
  6. Step 6: Final answer
    x = 246,974.81

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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.