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Finding the Fourth Proportional to 408,905.70, 613,358.55 and 128,451.30

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Solution

The fourth proportional to 408,905.70, 613,358.55 and 128,451.30 is: 192,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,905.70 : 613,358.55 = 128,451.30 : x
  2. Step 2: Convert to fraction form
    408,905.70/613,358.55 = 128,451.30/x
  3. Step 3: Cross multiply
    408,905.70x = 613,358.55 × 128,451.30
  4. Step 4: Simplify right side
    408,905.70x = 78,786,703,113.62
  5. Step 5: Solve for x
    x = 78,786,703,113.62/408,905.70
  6. Step 6: Final answer
    x = 192,676.95

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Similar ratio
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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.