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Finding the Fourth Proportional to 297,184.26, 410,112.90 and 161,218.29

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Solution

The fourth proportional to 297,184.26, 410,112.90 and 161,218.29 is: 222,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,184.26 : 410,112.90 = 161,218.29 : x
  2. Step 2: Convert to fraction form
    297,184.26/410,112.90 = 161,218.29/x
  3. Step 3: Cross multiply
    297,184.26x = 410,112.90 × 161,218.29
  4. Step 4: Simplify right side
    297,184.26x = 66,117,700,444.94
  5. Step 5: Solve for x
    x = 66,117,700,444.94/297,184.26
  6. Step 6: Final answer
    x = 222,480.49

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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.