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Finding the Fourth Proportional to 820,226.70, 1,230,404.31 and 221,178.78

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Solution

The fourth proportional to 820,226.70, 1,230,404.31 and 221,178.78 is: 331,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,226.70 : 1,230,404.31 = 221,178.78 : x
  2. Step 2: Convert to fraction form
    820,226.70/1,230,404.31 = 221,178.78/x
  3. Step 3: Cross multiply
    820,226.70x = 1,230,404.31 × 221,178.78
  4. Step 4: Simplify right side
    820,226.70x = 272,139,324,192.54
  5. Step 5: Solve for x
    x = 272,139,324,192.54/820,226.70
  6. Step 6: Final answer
    x = 331,785.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.