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Finding the Fourth Proportional to 419,896.60, 629,844.90 and 413,999.80

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Solution

The fourth proportional to 419,896.60, 629,844.90 and 413,999.80 is: 620,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,896.60 : 629,844.90 = 413,999.80 : x
  2. Step 2: Convert to fraction form
    419,896.60/629,844.90 = 413,999.80/x
  3. Step 3: Cross multiply
    419,896.60x = 629,844.90 × 413,999.80
  4. Step 4: Simplify right side
    419,896.60x = 260,755,662,631.02
  5. Step 5: Solve for x
    x = 260,755,662,631.02/419,896.60
  6. Step 6: Final answer
    x = 620,999.70

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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.