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Finding the Fourth Proportional to 664,007, 996,019.14 and 220,775

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Solution

The fourth proportional to 664,007, 996,019.14 and 220,775 is: 331,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,007 : 996,019.14 = 220,775 : x
  2. Step 2: Convert to fraction form
    664,007/996,019.14 = 220,775/x
  3. Step 3: Cross multiply
    664,007x = 996,019.14 × 220,775
  4. Step 4: Simplify right side
    664,007x = 219,896,125,633.50
  5. Step 5: Solve for x
    x = 219,896,125,633.50/664,007
  6. Step 6: Final answer
    x = 331,165.37

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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.