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Finding the Fourth Proportional to 419,632.14, 629,546.63 and 166,927.03

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Solution

The fourth proportional to 419,632.14, 629,546.63 and 166,927.03 is: 250,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,632.14 : 629,546.63 = 166,927.03 : x
  2. Step 2: Convert to fraction form
    419,632.14/629,546.63 = 166,927.03/x
  3. Step 3: Cross multiply
    419,632.14x = 629,546.63 × 166,927.03
  4. Step 4: Simplify right side
    419,632.14x = 105,088,347,722.87
  5. Step 5: Solve for x
    x = 105,088,347,722.87/419,632.14
  6. Step 6: Final answer
    x = 250,429.69

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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.