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Finding the Fourth Proportional to 466,535.66, 699,914.54 and 150,992.56

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Solution

The fourth proportional to 466,535.66, 699,914.54 and 150,992.56 is: 226,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,535.66 : 699,914.54 = 150,992.56 : x
  2. Step 2: Convert to fraction form
    466,535.66/699,914.54 = 150,992.56/x
  3. Step 3: Cross multiply
    466,535.66x = 699,914.54 × 150,992.56
  4. Step 4: Simplify right side
    466,535.66x = 105,681,888,175.82
  5. Step 5: Solve for x
    x = 105,681,888,175.82/466,535.66
  6. Step 6: Final answer
    x = 226,524.78

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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.