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Finding the Fourth Proportional to 410,753.28, 616,147.20 and 200,576.64

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Solution

The fourth proportional to 410,753.28, 616,147.20 and 200,576.64 is: 300,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,753.28 : 616,147.20 = 200,576.64 : x
  2. Step 2: Convert to fraction form
    410,753.28/616,147.20 = 200,576.64/x
  3. Step 3: Cross multiply
    410,753.28x = 616,147.20 × 200,576.64
  4. Step 4: Simplify right side
    410,753.28x = 123,584,735,121.41
  5. Step 5: Solve for x
    x = 123,584,735,121.41/410,753.28
  6. Step 6: Final answer
    x = 300,873.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.