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Finding the Fourth Proportional to 411,206.10, 616,809.15 and 222,249.30

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Solution

The fourth proportional to 411,206.10, 616,809.15 and 222,249.30 is: 333,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,206.10 : 616,809.15 = 222,249.30 : x
  2. Step 2: Convert to fraction form
    411,206.10/616,809.15 = 222,249.30/x
  3. Step 3: Cross multiply
    411,206.10x = 616,809.15 × 222,249.30
  4. Step 4: Simplify right side
    411,206.10x = 137,085,401,821.10
  5. Step 5: Solve for x
    x = 137,085,401,821.10/411,206.10
  6. Step 6: Final answer
    x = 333,373.95

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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.