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Finding the Fourth Proportional to 419,644.00, 629,535.71 and 166,926.93

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Solution

The fourth proportional to 419,644.00, 629,535.71 and 166,926.93 is: 250,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,644.00 : 629,535.71 = 166,926.93 : x
  2. Step 2: Convert to fraction form
    419,644.00/629,535.71 = 166,926.93/x
  3. Step 3: Cross multiply
    419,644.00x = 629,535.71 × 166,926.93
  4. Step 4: Simplify right side
    419,644.00x = 105,086,461,452.23
  5. Step 5: Solve for x
    x = 105,086,461,452.23/419,644.00
  6. Step 6: Final answer
    x = 250,418.12

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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.