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Finding the Fourth Proportional to 418,431.96, 627,294.24 and 181,596.60

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Solution

The fourth proportional to 418,431.96, 627,294.24 and 181,596.60 is: 272,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,431.96 : 627,294.24 = 181,596.60 : x
  2. Step 2: Convert to fraction form
    418,431.96/627,294.24 = 181,596.60/x
  3. Step 3: Cross multiply
    418,431.96x = 627,294.24 × 181,596.60
  4. Step 4: Simplify right side
    418,431.96x = 113,914,501,183.58
  5. Step 5: Solve for x
    x = 113,914,501,183.58/418,431.96
  6. Step 6: Final answer
    x = 272,241.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.