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Finding the Fourth Proportional to 419,679.65, 629,557.54 and 116,092.83

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Solution

The fourth proportional to 419,679.65, 629,557.54 and 116,092.83 is: 174,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,679.65 : 629,557.54 = 116,092.83 : x
  2. Step 2: Convert to fraction form
    419,679.65/629,557.54 = 116,092.83/x
  3. Step 3: Cross multiply
    419,679.65x = 629,557.54 × 116,092.83
  4. Step 4: Simplify right side
    419,679.65x = 73,087,115,824.61
  5. Step 5: Solve for x
    x = 73,087,115,824.61/419,679.65
  6. Step 6: Final answer
    x = 174,149.77

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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.