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Finding the Fourth Proportional to 655,786.36, 983,714.64 and 206,542.24

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Solution

The fourth proportional to 655,786.36, 983,714.64 and 206,542.24 is: 309,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,786.36 : 983,714.64 = 206,542.24 : x
  2. Step 2: Convert to fraction form
    655,786.36/983,714.64 = 206,542.24/x
  3. Step 3: Cross multiply
    655,786.36x = 983,714.64 × 206,542.24
  4. Step 4: Simplify right side
    655,786.36x = 203,178,625,266.39
  5. Step 5: Solve for x
    x = 203,178,625,266.39/655,786.36
  6. Step 6: Final answer
    x = 309,824.41

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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.