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Finding the Fourth Proportional to 433,137.66, 649,817.21 and 166,826.67

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Solution

The fourth proportional to 433,137.66, 649,817.21 and 166,826.67 is: 250,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,137.66 : 649,817.21 = 166,826.67 : x
  2. Step 2: Convert to fraction form
    433,137.66/649,817.21 = 166,826.67/x
  3. Step 3: Cross multiply
    433,137.66x = 649,817.21 × 166,826.67
  4. Step 4: Simplify right side
    433,137.66x = 108,406,843,481.27
  5. Step 5: Solve for x
    x = 108,406,843,481.27/433,137.66
  6. Step 6: Final answer
    x = 250,282.65

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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.