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Finding the Fourth Proportional to 967,832, 1,335,608.16 and 543,896

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Solution

The fourth proportional to 967,832, 1,335,608.16 and 543,896 is: 750,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,832 : 1,335,608.16 = 543,896 : x
  2. Step 2: Convert to fraction form
    967,832/1,335,608.16 = 543,896/x
  3. Step 3: Cross multiply
    967,832x = 1,335,608.16 × 543,896
  4. Step 4: Simplify right side
    967,832x = 726,431,935,791.36
  5. Step 5: Solve for x
    x = 726,431,935,791.36/967,832
  6. Step 6: Final answer
    x = 750,576.48

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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.