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Finding the Fourth Proportional to 952,162, 1,314,007.82 and 522,442

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Solution

The fourth proportional to 952,162, 1,314,007.82 and 522,442 is: 720,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,162 : 1,314,007.82 = 522,442 : x
  2. Step 2: Convert to fraction form
    952,162/1,314,007.82 = 522,442/x
  3. Step 3: Cross multiply
    952,162x = 1,314,007.82 × 522,442
  4. Step 4: Simplify right side
    952,162x = 686,492,873,496.44
  5. Step 5: Solve for x
    x = 686,492,873,496.44/952,162
  6. Step 6: Final answer
    x = 720,983.27

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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.