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Finding the Fourth Proportional to 655,255.13, 982,881.88 and 206,015.22

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Solution

The fourth proportional to 655,255.13, 982,881.88 and 206,015.22 is: 309,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,255.13 : 982,881.88 = 206,015.22 : x
  2. Step 2: Convert to fraction form
    655,255.13/982,881.88 = 206,015.22/x
  3. Step 3: Cross multiply
    655,255.13x = 982,881.88 × 206,015.22
  4. Step 4: Simplify right side
    655,255.13x = 202,488,626,227.18
  5. Step 5: Solve for x
    x = 202,488,626,227.18/655,255.13
  6. Step 6: Final answer
    x = 309,022.58

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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.