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Finding the Fourth Proportional to 643,863.20, 965,794.80 and 511,152.80

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Solution

The fourth proportional to 643,863.20, 965,794.80 and 511,152.80 is: 766,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,863.20 : 965,794.80 = 511,152.80 : x
  2. Step 2: Convert to fraction form
    643,863.20/965,794.80 = 511,152.80/x
  3. Step 3: Cross multiply
    643,863.20x = 965,794.80 × 511,152.80
  4. Step 4: Simplify right side
    643,863.20x = 493,668,716,245.44
  5. Step 5: Solve for x
    x = 493,668,716,245.44/643,863.20
  6. Step 6: Final answer
    x = 766,729.20

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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.