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Finding the Fourth Proportional to 322,156.32, 444,798.12 and 201,351.90

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Solution

The fourth proportional to 322,156.32, 444,798.12 and 201,351.90 is: 278,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,156.32 : 444,798.12 = 201,351.90 : x
  2. Step 2: Convert to fraction form
    322,156.32/444,798.12 = 201,351.90/x
  3. Step 3: Cross multiply
    322,156.32x = 444,798.12 × 201,351.90
  4. Step 4: Simplify right side
    322,156.32x = 89,560,946,578.43
  5. Step 5: Solve for x
    x = 89,560,946,578.43/322,156.32
  6. Step 6: Final answer
    x = 278,004.62

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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.