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Finding the Fourth Proportional to 466,109.82, 699,016.50 and 150,493.32

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Solution

The fourth proportional to 466,109.82, 699,016.50 and 150,493.32 is: 225,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,109.82 : 699,016.50 = 150,493.32 : x
  2. Step 2: Convert to fraction form
    466,109.82/699,016.50 = 150,493.32/x
  3. Step 3: Cross multiply
    466,109.82x = 699,016.50 × 150,493.32
  4. Step 4: Simplify right side
    466,109.82x = 105,197,313,819.78
  5. Step 5: Solve for x
    x = 105,197,313,819.78/466,109.82
  6. Step 6: Final answer
    x = 225,692.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.