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Finding the Fourth Proportional to 512,965.68, 769,206.28 and 299,794.72

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Solution

The fourth proportional to 512,965.68, 769,206.28 and 299,794.72 is: 449,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,965.68 : 769,206.28 = 299,794.72 : x
  2. Step 2: Convert to fraction form
    512,965.68/769,206.28 = 299,794.72/x
  3. Step 3: Cross multiply
    512,965.68x = 769,206.28 × 299,794.72
  4. Step 4: Simplify right side
    512,965.68x = 230,603,981,334.84
  5. Step 5: Solve for x
    x = 230,603,981,334.84/512,965.68
  6. Step 6: Final answer
    x = 449,550.51

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Double scale
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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.