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Finding the Fourth Proportional to 433,199.59, 649,910.09 and 166,888.69

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Solution

The fourth proportional to 433,199.59, 649,910.09 and 166,888.69 is: 250,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,199.59 : 649,910.09 = 166,888.69 : x
  2. Step 2: Convert to fraction form
    433,199.59/649,910.09 = 166,888.69/x
  3. Step 3: Cross multiply
    433,199.59x = 649,910.09 × 166,888.69
  4. Step 4: Simplify right side
    433,199.59x = 108,462,643,537.88
  5. Step 5: Solve for x
    x = 108,462,643,537.88/433,199.59
  6. Step 6: Final answer
    x = 250,375.68

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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.