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Finding the Fourth Proportional to 455,542.20, 683,313.30 and 206,224.20

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Solution

The fourth proportional to 455,542.20, 683,313.30 and 206,224.20 is: 309,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,542.20 : 683,313.30 = 206,224.20 : x
  2. Step 2: Convert to fraction form
    455,542.20/683,313.30 = 206,224.20/x
  3. Step 3: Cross multiply
    455,542.20x = 683,313.30 × 206,224.20
  4. Step 4: Simplify right side
    455,542.20x = 140,915,738,641.86
  5. Step 5: Solve for x
    x = 140,915,738,641.86/455,542.20
  6. Step 6: Final answer
    x = 309,336.30

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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.