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Finding the Fourth Proportional to 414,372.54, 621,558.81 and 274,098.36

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Solution

The fourth proportional to 414,372.54, 621,558.81 and 274,098.36 is: 411,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,372.54 : 621,558.81 = 274,098.36 : x
  2. Step 2: Convert to fraction form
    414,372.54/621,558.81 = 274,098.36/x
  3. Step 3: Cross multiply
    414,372.54x = 621,558.81 × 274,098.36
  4. Step 4: Simplify right side
    414,372.54x = 170,368,250,464.55
  5. Step 5: Solve for x
    x = 170,368,250,464.55/414,372.54
  6. Step 6: Final answer
    x = 411,147.54

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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.