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Finding the Fourth Proportional to 466,534.53, 699,912.84 and 150,991.43

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Solution

The fourth proportional to 466,534.53, 699,912.84 and 150,991.43 is: 226,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,534.53 : 699,912.84 = 150,991.43 : x
  2. Step 2: Convert to fraction form
    466,534.53/699,912.84 = 150,991.43/x
  3. Step 3: Cross multiply
    466,534.53x = 699,912.84 × 150,991.43
  4. Step 4: Simplify right side
    466,534.53x = 105,680,842,902.96
  5. Step 5: Solve for x
    x = 105,680,842,902.96/466,534.53
  6. Step 6: Final answer
    x = 226,523.09

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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.