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Finding the Fourth Proportional to 500,211.97, 690,389.67 and 379,142.08

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Solution

The fourth proportional to 500,211.97, 690,389.67 and 379,142.08 is: 523,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,211.97 : 690,389.67 = 379,142.08 : x
  2. Step 2: Convert to fraction form
    500,211.97/690,389.67 = 379,142.08/x
  3. Step 3: Cross multiply
    500,211.97x = 690,389.67 × 379,142.08
  4. Step 4: Simplify right side
    500,211.97x = 261,755,775,494.31
  5. Step 5: Solve for x
    x = 261,755,775,494.31/500,211.97
  6. Step 6: Final answer
    x = 523,289.71

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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.