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Finding the Fourth Proportional to 782,480.92, 1,174,157.46 and 422,644.49

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Solution

The fourth proportional to 782,480.92, 1,174,157.46 and 422,644.49 is: 634,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,480.92 : 1,174,157.46 = 422,644.49 : x
  2. Step 2: Convert to fraction form
    782,480.92/1,174,157.46 = 422,644.49/x
  3. Step 3: Cross multiply
    782,480.92x = 1,174,157.46 × 422,644.49
  4. Step 4: Simplify right side
    782,480.92x = 496,251,183,796.79
  5. Step 5: Solve for x
    x = 496,251,183,796.79/782,480.92
  6. Step 6: Final answer
    x = 634,202.28

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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.