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Finding the Fourth Proportional to 655,483.44, 983,238.12 and 206,194.80

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Solution

The fourth proportional to 655,483.44, 983,238.12 and 206,194.80 is: 309,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,483.44 : 983,238.12 = 206,194.80 : x
  2. Step 2: Convert to fraction form
    655,483.44/983,238.12 = 206,194.80/x
  3. Step 3: Cross multiply
    655,483.44x = 983,238.12 × 206,194.80
  4. Step 4: Simplify right side
    655,483.44x = 202,738,587,505.78
  5. Step 5: Solve for x
    x = 202,738,587,505.78/655,483.44
  6. Step 6: Final answer
    x = 309,296.28

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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.