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Finding the Fourth Proportional to 820,906.60, 1,231,359.90 and 447,658.60

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Solution

The fourth proportional to 820,906.60, 1,231,359.90 and 447,658.60 is: 671,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,906.60 : 1,231,359.90 = 447,658.60 : x
  2. Step 2: Convert to fraction form
    820,906.60/1,231,359.90 = 447,658.60/x
  3. Step 3: Cross multiply
    820,906.60x = 1,231,359.90 × 447,658.60
  4. Step 4: Simplify right side
    820,906.60x = 551,228,848,930.14
  5. Step 5: Solve for x
    x = 551,228,848,930.14/820,906.60
  6. Step 6: Final answer
    x = 671,487.90

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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.