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Finding the Fourth Proportional to 665,096.31, 997,792.02 and 191,744.73

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Solution

The fourth proportional to 665,096.31, 997,792.02 and 191,744.73 is: 287,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,096.31 : 997,792.02 = 191,744.73 : x
  2. Step 2: Convert to fraction form
    665,096.31/997,792.02 = 191,744.73/x
  3. Step 3: Cross multiply
    665,096.31x = 997,792.02 × 191,744.73
  4. Step 4: Simplify right side
    665,096.31x = 191,321,361,471.06
  5. Step 5: Solve for x
    x = 191,321,361,471.06/665,096.31
  6. Step 6: Final answer
    x = 287,659.63

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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.