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Finding the Fourth Proportional to 337,813.28, 505,709.68 and 204,289.44

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Solution

The fourth proportional to 337,813.28, 505,709.68 and 204,289.44 is: 305,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,813.28 : 505,709.68 = 204,289.44 : x
  2. Step 2: Convert to fraction form
    337,813.28/505,709.68 = 204,289.44/x
  3. Step 3: Cross multiply
    337,813.28x = 505,709.68 × 204,289.44
  4. Step 4: Simplify right side
    337,813.28x = 103,311,147,329.78
  5. Step 5: Solve for x
    x = 103,311,147,329.78/337,813.28
  6. Step 6: Final answer
    x = 305,823.23

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Why These Related Problems?

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