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Finding the Fourth Proportional to 500,201.18, 690,213.35 and 285,328.43

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Solution

The fourth proportional to 500,201.18, 690,213.35 and 285,328.43 is: 393,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,201.18 : 690,213.35 = 285,328.43 : x
  2. Step 2: Convert to fraction form
    500,201.18/690,213.35 = 285,328.43/x
  3. Step 3: Cross multiply
    500,201.18x = 690,213.35 × 285,328.43
  4. Step 4: Simplify right side
    500,201.18x = 196,937,491,520.54
  5. Step 5: Solve for x
    x = 196,937,491,520.54/500,201.18
  6. Step 6: Final answer
    x = 393,716.57

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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.