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Finding the Fourth Proportional to 397,276.56, 548,241.60 and 218,428.56

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Solution

The fourth proportional to 397,276.56, 548,241.60 and 218,428.56 is: 301,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,276.56 : 548,241.60 = 218,428.56 : x
  2. Step 2: Convert to fraction form
    397,276.56/548,241.60 = 218,428.56/x
  3. Step 3: Cross multiply
    397,276.56x = 548,241.60 × 218,428.56
  4. Step 4: Simplify right side
    397,276.56x = 119,751,623,220.10
  5. Step 5: Solve for x
    x = 119,751,623,220.10/397,276.56
  6. Step 6: Final answer
    x = 301,431.38

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Why These Related Problems?

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