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Finding the Fourth Proportional to 414,449.54, 621,674.31 and 274,175.36

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Solution

The fourth proportional to 414,449.54, 621,674.31 and 274,175.36 is: 411,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,449.54 : 621,674.31 = 274,175.36 : x
  2. Step 2: Convert to fraction form
    414,449.54/621,674.31 = 274,175.36/x
  3. Step 3: Cross multiply
    414,449.54x = 621,674.31 × 274,175.36
  4. Step 4: Simplify right side
    414,449.54x = 170,447,777,747.00
  5. Step 5: Solve for x
    x = 170,447,777,747.00/414,449.54
  6. Step 6: Final answer
    x = 411,263.04

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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.