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Finding the Fourth Proportional to 466,534.35, 699,912.56 and 150,991.25

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Solution

The fourth proportional to 466,534.35, 699,912.56 and 150,991.25 is: 226,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,534.35 : 699,912.56 = 150,991.25 : x
  2. Step 2: Convert to fraction form
    466,534.35/699,912.56 = 150,991.25/x
  3. Step 3: Cross multiply
    466,534.35x = 699,912.56 × 150,991.25
  4. Step 4: Simplify right side
    466,534.35x = 105,680,674,452.36
  5. Step 5: Solve for x
    x = 105,680,674,452.36/466,534.35
  6. Step 6: Final answer
    x = 226,522.82

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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.