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Finding the Fourth Proportional to 433,129.50, 649,444.89 and 166,855.38

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Solution

The fourth proportional to 433,129.50, 649,444.89 and 166,855.38 is: 250,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,129.50 : 649,444.89 = 166,855.38 : x
  2. Step 2: Convert to fraction form
    433,129.50/649,444.89 = 166,855.38/x
  3. Step 3: Cross multiply
    433,129.50x = 649,444.89 × 166,855.38
  4. Step 4: Simplify right side
    433,129.50x = 108,363,373,910.01
  5. Step 5: Solve for x
    x = 108,363,373,910.01/433,129.50
  6. Step 6: Final answer
    x = 250,187.01

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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.