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Finding the Fourth Proportional to 414,295.29, 571,722.71 and 233,006.49

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Solution

The fourth proportional to 414,295.29, 571,722.71 and 233,006.49 is: 321,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,295.29 : 571,722.71 = 233,006.49 : x
  2. Step 2: Convert to fraction form
    414,295.29/571,722.71 = 233,006.49/x
  3. Step 3: Cross multiply
    414,295.29x = 571,722.71 × 233,006.49
  4. Step 4: Simplify right side
    414,295.29x = 133,215,100,745.36
  5. Step 5: Solve for x
    x = 133,215,100,745.36/414,295.29
  6. Step 6: Final answer
    x = 321,546.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.