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Finding the Fourth Proportional to 643,700.05, 965,640.32 and 194,369.96

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Solution

The fourth proportional to 643,700.05, 965,640.32 and 194,369.96 is: 291,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,700.05 : 965,640.32 = 194,369.96 : x
  2. Step 2: Convert to fraction form
    643,700.05/965,640.32 = 194,369.96/x
  3. Step 3: Cross multiply
    643,700.05x = 965,640.32 × 194,369.96
  4. Step 4: Simplify right side
    643,700.05x = 187,691,469,400.94
  5. Step 5: Solve for x
    x = 187,691,469,400.94/643,700.05
  6. Step 6: Final answer
    x = 291,582.19

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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.