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Finding the Fourth Proportional to 967,809, 1,335,576.42 and 543,873

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Solution

The fourth proportional to 967,809, 1,335,576.42 and 543,873 is: 750,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,809 : 1,335,576.42 = 543,873 : x
  2. Step 2: Convert to fraction form
    967,809/1,335,576.42 = 543,873/x
  3. Step 3: Cross multiply
    967,809x = 1,335,576.42 × 543,873
  4. Step 4: Simplify right side
    967,809x = 726,383,954,274.66
  5. Step 5: Solve for x
    x = 726,383,954,274.66/967,809
  6. Step 6: Final answer
    x = 750,544.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.