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Finding the Fourth Proportional to 655,635.52, 982,951.08 and 206,096.32

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Solution

The fourth proportional to 655,635.52, 982,951.08 and 206,096.32 is: 308,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,635.52 : 982,951.08 = 206,096.32 : x
  2. Step 2: Convert to fraction form
    655,635.52/982,951.08 = 206,096.32/x
  3. Step 3: Cross multiply
    655,635.52x = 982,951.08 × 206,096.32
  4. Step 4: Simplify right side
    655,635.52x = 202,582,600,328.03
  5. Step 5: Solve for x
    x = 202,582,600,328.03/655,635.52
  6. Step 6: Final answer
    x = 308,986.62

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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.