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Finding the Fourth Proportional to 433,592.72, 649,846.88 and 208,910.96

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Solution

The fourth proportional to 433,592.72, 649,846.88 and 208,910.96 is: 313,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,592.72 : 649,846.88 = 208,910.96 : x
  2. Step 2: Convert to fraction form
    433,592.72/649,846.88 = 208,910.96/x
  3. Step 3: Cross multiply
    433,592.72x = 649,846.88 × 208,910.96
  4. Step 4: Simplify right side
    433,592.72x = 135,760,135,553.81
  5. Step 5: Solve for x
    x = 135,760,135,553.81/433,592.72
  6. Step 6: Final answer
    x = 313,105.20

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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.