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Finding the Fourth Proportional to 361,732.10, 499,189.37 and 200,583

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Solution

The fourth proportional to 361,732.10, 499,189.37 and 200,583 is: 276,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,732.10 : 499,189.37 = 200,583 : x
  2. Step 2: Convert to fraction form
    361,732.10/499,189.37 = 200,583/x
  3. Step 3: Cross multiply
    361,732.10x = 499,189.37 × 200,583
  4. Step 4: Simplify right side
    361,732.10x = 100,128,900,399.80
  5. Step 5: Solve for x
    x = 100,128,900,399.80/361,732.10
  6. Step 6: Final answer
    x = 276,804.03

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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.