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Finding the Fourth Proportional to 414,448.54, 621,672.81 and 274,174.36

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Solution

The fourth proportional to 414,448.54, 621,672.81 and 274,174.36 is: 411,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448.54 : 621,672.81 = 274,174.36 : x
  2. Step 2: Convert to fraction form
    414,448.54/621,672.81 = 274,174.36/x
  3. Step 3: Cross multiply
    414,448.54x = 621,672.81 × 274,174.36
  4. Step 4: Simplify right side
    414,448.54x = 170,446,744,811.15
  5. Step 5: Solve for x
    x = 170,446,744,811.15/414,448.54
  6. Step 6: Final answer
    x = 411,261.54

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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.