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Finding the Fourth Proportional to 783,366, 1,175,046.12 and 222,400.56

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Solution

The fourth proportional to 783,366, 1,175,046.12 and 222,400.56 is: 333,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,366 : 1,175,046.12 = 222,400.56 : x
  2. Step 2: Convert to fraction form
    783,366/1,175,046.12 = 222,400.56/x
  3. Step 3: Cross multiply
    783,366x = 1,175,046.12 × 222,400.56
  4. Step 4: Simplify right side
    783,366x = 261,330,915,113.83
  5. Step 5: Solve for x
    x = 261,330,915,113.83/783,366
  6. Step 6: Final answer
    x = 333,600.02

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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.