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Finding the Fourth Proportional to 466,533.97, 699,912 and 150,990.88

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Solution

The fourth proportional to 466,533.97, 699,912 and 150,990.88 is: 226,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,533.97 : 699,912 = 150,990.88 : x
  2. Step 2: Convert to fraction form
    466,533.97/699,912 = 150,990.88/x
  3. Step 3: Cross multiply
    466,533.97x = 699,912 × 150,990.88
  4. Step 4: Simplify right side
    466,533.97x = 105,680,327,052.78
  5. Step 5: Solve for x
    x = 105,680,327,052.78/466,533.97
  6. Step 6: Final answer
    x = 226,522.25

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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.