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Finding the Fourth Proportional to 523,175.50, 784,770.63 and 149,198.50

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Solution

The fourth proportional to 523,175.50, 784,770.63 and 149,198.50 is: 223,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,175.50 : 784,770.63 = 149,198.50 : x
  2. Step 2: Convert to fraction form
    523,175.50/784,770.63 = 149,198.50/x
  3. Step 3: Cross multiply
    523,175.50x = 784,770.63 × 149,198.50
  4. Step 4: Simplify right side
    523,175.50x = 117,086,600,840.06
  5. Step 5: Solve for x
    x = 117,086,600,840.06/523,175.50
  6. Step 6: Final answer
    x = 223,799.85

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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.