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Finding the Fourth Proportional to 422,511.70, 633,767.55 and 254,550.10

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Solution

The fourth proportional to 422,511.70, 633,767.55 and 254,550.10 is: 381,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,511.70 : 633,767.55 = 254,550.10 : x
  2. Step 2: Convert to fraction form
    422,511.70/633,767.55 = 254,550.10/x
  3. Step 3: Cross multiply
    422,511.70x = 633,767.55 × 254,550.10
  4. Step 4: Simplify right side
    422,511.70x = 161,325,593,229.26
  5. Step 5: Solve for x
    x = 161,325,593,229.26/422,511.70
  6. Step 6: Final answer
    x = 381,825.15

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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.