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Finding the Fourth Proportional to 655,274.88, 982,911.60 and 206,035.02

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Solution

The fourth proportional to 655,274.88, 982,911.60 and 206,035.02 is: 309,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,274.88 : 982,911.60 = 206,035.02 : x
  2. Step 2: Convert to fraction form
    655,274.88/982,911.60 = 206,035.02/x
  3. Step 3: Cross multiply
    655,274.88x = 982,911.60 × 206,035.02
  4. Step 4: Simplify right side
    655,274.88x = 202,514,211,164.23
  5. Step 5: Solve for x
    x = 202,514,211,164.23/655,274.88
  6. Step 6: Final answer
    x = 309,052.30

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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.