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Finding the Fourth Proportional to 327,896.40, 452,513.88 and 200,532

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Solution

The fourth proportional to 327,896.40, 452,513.88 and 200,532 is: 276,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,896.40 : 452,513.88 = 200,532 : x
  2. Step 2: Convert to fraction form
    327,896.40/452,513.88 = 200,532/x
  3. Step 3: Cross multiply
    327,896.40x = 452,513.88 × 200,532
  4. Step 4: Simplify right side
    327,896.40x = 90,743,513,384.16
  5. Step 5: Solve for x
    x = 90,743,513,384.16/327,896.40
  6. Step 6: Final answer
    x = 276,744.46

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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.