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Finding the Fourth Proportional to 329,361.20, 454,527.28 and 200,255.28

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Solution

The fourth proportional to 329,361.20, 454,527.28 and 200,255.28 is: 276,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,361.20 : 454,527.28 = 200,255.28 : x
  2. Step 2: Convert to fraction form
    329,361.20/454,527.28 = 200,255.28/x
  3. Step 3: Cross multiply
    329,361.20x = 454,527.28 × 200,255.28
  4. Step 4: Simplify right side
    329,361.20x = 91,021,487,724.04
  5. Step 5: Solve for x
    x = 91,021,487,724.04/329,361.20
  6. Step 6: Final answer
    x = 276,357.65

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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.