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Finding the Fourth Proportional to 416,202.96, 574,361.60 and 225,216.35

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Solution

The fourth proportional to 416,202.96, 574,361.60 and 225,216.35 is: 310,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,202.96 : 574,361.60 = 225,216.35 : x
  2. Step 2: Convert to fraction form
    416,202.96/574,361.60 = 225,216.35/x
  3. Step 3: Cross multiply
    416,202.96x = 574,361.60 × 225,216.35
  4. Step 4: Simplify right side
    416,202.96x = 129,355,619,134.27
  5. Step 5: Solve for x
    x = 129,355,619,134.27/416,202.96
  6. Step 6: Final answer
    x = 310,799.37

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