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Finding the Fourth Proportional to 297,710.91, 410,843.03 and 161,744.83

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Solution

The fourth proportional to 297,710.91, 410,843.03 and 161,744.83 is: 223,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,710.91 : 410,843.03 = 161,744.83 : x
  2. Step 2: Convert to fraction form
    297,710.91/410,843.03 = 161,744.83/x
  3. Step 3: Cross multiply
    297,710.91x = 410,843.03 × 161,744.83
  4. Step 4: Simplify right side
    297,710.91x = 66,451,736,448.40
  5. Step 5: Solve for x
    x = 66,451,736,448.40/297,710.91
  6. Step 6: Final answer
    x = 223,208.94

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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.