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Finding the Fourth Proportional to 393,732.99, 590,119.67 and 204,088.80

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Solution

The fourth proportional to 393,732.99, 590,119.67 and 204,088.80 is: 305,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,732.99 : 590,119.67 = 204,088.80 : x
  2. Step 2: Convert to fraction form
    393,732.99/590,119.67 = 204,088.80/x
  3. Step 3: Cross multiply
    393,732.99x = 590,119.67 × 204,088.80
  4. Step 4: Simplify right side
    393,732.99x = 120,436,814,286.25
  5. Step 5: Solve for x
    x = 120,436,814,286.25/393,732.99
  6. Step 6: Final answer
    x = 305,884.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.