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Finding the Fourth Proportional to 329,100.28, 454,023.14 and 200,017.96

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Solution

The fourth proportional to 329,100.28, 454,023.14 and 200,017.96 is: 275,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,100.28 : 454,023.14 = 200,017.96 : x
  2. Step 2: Convert to fraction form
    329,100.28/454,023.14 = 200,017.96/x
  3. Step 3: Cross multiply
    329,100.28x = 454,023.14 × 200,017.96
  4. Step 4: Simplify right side
    329,100.28x = 90,812,780,069.83
  5. Step 5: Solve for x
    x = 90,812,780,069.83/329,100.28
  6. Step 6: Final answer
    x = 275,942.58

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1.5x scale

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.