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Finding the Fourth Proportional to 419,062.76, 627,593.58 and 241,195.87

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Solution

The fourth proportional to 419,062.76, 627,593.58 and 241,195.87 is: 361,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,062.76 : 627,593.58 = 241,195.87 : x
  2. Step 2: Convert to fraction form
    419,062.76/627,593.58 = 241,195.87/x
  3. Step 3: Cross multiply
    419,062.76x = 627,593.58 × 241,195.87
  4. Step 4: Simplify right side
    419,062.76x = 151,372,977,965.53
  5. Step 5: Solve for x
    x = 151,372,977,965.53/419,062.76
  6. Step 6: Final answer
    x = 361,217.92

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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.