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Finding the Fourth Proportional to 500,297.30, 690,403.38 and 273,942.80

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Solution

The fourth proportional to 500,297.30, 690,403.38 and 273,942.80 is: 378,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,297.30 : 690,403.38 = 273,942.80 : x
  2. Step 2: Convert to fraction form
    500,297.30/690,403.38 = 273,942.80/x
  3. Step 3: Cross multiply
    500,297.30x = 690,403.38 × 273,942.80
  4. Step 4: Simplify right side
    500,297.30x = 189,131,035,046.66
  5. Step 5: Solve for x
    x = 189,131,035,046.66/500,297.30
  6. Step 6: Final answer
    x = 378,037.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.