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Finding the Fourth Proportional to 416,224.13, 574,393.41 and 225,241.63

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Solution

The fourth proportional to 416,224.13, 574,393.41 and 225,241.63 is: 310,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,224.13 : 574,393.41 = 225,241.63 : x
  2. Step 2: Convert to fraction form
    416,224.13/574,393.41 = 225,241.63/x
  3. Step 3: Cross multiply
    416,224.13x = 574,393.41 × 225,241.63
  4. Step 4: Simplify right side
    416,224.13x = 129,377,306,493.68
  5. Step 5: Solve for x
    x = 129,377,306,493.68/416,224.13
  6. Step 6: Final answer
    x = 310,835.67

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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.