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Finding the Fourth Proportional to 337,813.16, 505,710.12 and 204,289.52

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Solution

The fourth proportional to 337,813.16, 505,710.12 and 204,289.52 is: 305,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,813.16 : 505,710.12 = 204,289.52 : x
  2. Step 2: Convert to fraction form
    337,813.16/505,710.12 = 204,289.52/x
  3. Step 3: Cross multiply
    337,813.16x = 505,710.12 × 204,289.52
  4. Step 4: Simplify right side
    337,813.16x = 103,311,277,673.94
  5. Step 5: Solve for x
    x = 103,311,277,673.94/337,813.16
  6. Step 6: Final answer
    x = 305,823.72

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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.