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Finding the Fourth Proportional to 297,767.86, 410,922.26 and 161,801.82

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Solution

The fourth proportional to 297,767.86, 410,922.26 and 161,801.82 is: 223,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,767.86 : 410,922.26 = 161,801.82 : x
  2. Step 2: Convert to fraction form
    297,767.86/410,922.26 = 161,801.82/x
  3. Step 3: Cross multiply
    297,767.86x = 410,922.26 × 161,801.82
  4. Step 4: Simplify right side
    297,767.86x = 66,487,969,546.51
  5. Step 5: Solve for x
    x = 66,487,969,546.51/297,767.86
  6. Step 6: Final answer
    x = 223,287.93

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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.