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Finding the Fourth Proportional to 466,535.53, 699,914.35 and 150,992.43

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Solution

The fourth proportional to 466,535.53, 699,914.35 and 150,992.43 is: 226,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,535.53 : 699,914.35 = 150,992.43 : x
  2. Step 2: Convert to fraction form
    466,535.53/699,914.35 = 150,992.43/x
  3. Step 3: Cross multiply
    466,535.53x = 699,914.35 × 150,992.43
  4. Step 4: Simplify right side
    466,535.53x = 105,681,768,498.37
  5. Step 5: Solve for x
    x = 105,681,768,498.37/466,535.53
  6. Step 6: Final answer
    x = 226,524.59

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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.