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Finding the Fourth Proportional to 463,770.33, 639,857.79 and 259,793.70

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Solution

The fourth proportional to 463,770.33, 639,857.79 and 259,793.70 is: 358,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,770.33 : 639,857.79 = 259,793.70 : x
  2. Step 2: Convert to fraction form
    463,770.33/639,857.79 = 259,793.70/x
  3. Step 3: Cross multiply
    463,770.33x = 639,857.79 × 259,793.70
  4. Step 4: Simplify right side
    463,770.33x = 166,231,022,737.92
  5. Step 5: Solve for x
    x = 166,231,022,737.92/463,770.33
  6. Step 6: Final answer
    x = 358,433.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.