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Finding the Fourth Proportional to 512,796.40, 769,195.14 and 133,716.80

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Solution

The fourth proportional to 512,796.40, 769,195.14 and 133,716.80 is: 200,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796.40 : 769,195.14 = 133,716.80 : x
  2. Step 2: Convert to fraction form
    512,796.40/769,195.14 = 133,716.80/x
  3. Step 3: Cross multiply
    512,796.40x = 769,195.14 × 133,716.80
  4. Step 4: Simplify right side
    512,796.40x = 102,854,312,696.35
  5. Step 5: Solve for x
    x = 102,854,312,696.35/512,796.40
  6. Step 6: Final answer
    x = 200,575.34

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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.