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Finding the Fourth Proportional to 414,233.75, 621,073.83 and 334,369.97

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Solution

The fourth proportional to 414,233.75, 621,073.83 and 334,369.97 is: 501,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,233.75 : 621,073.83 = 334,369.97 : x
  2. Step 2: Convert to fraction form
    414,233.75/621,073.83 = 334,369.97/x
  3. Step 3: Cross multiply
    414,233.75x = 621,073.83 × 334,369.97
  4. Step 4: Simplify right side
    414,233.75x = 207,668,439,995.14
  5. Step 5: Solve for x
    x = 207,668,439,995.14/414,233.75
  6. Step 6: Final answer
    x = 501,331.53

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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.