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Finding the Fourth Proportional to 297,224.82, 410,177.34 and 169,912.26

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Solution

The fourth proportional to 297,224.82, 410,177.34 and 169,912.26 is: 234,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,224.82 : 410,177.34 = 169,912.26 : x
  2. Step 2: Convert to fraction form
    297,224.82/410,177.34 = 169,912.26/x
  3. Step 3: Cross multiply
    297,224.82x = 410,177.34 × 169,912.26
  4. Step 4: Simplify right side
    297,224.82x = 69,694,158,840.19
  5. Step 5: Solve for x
    x = 69,694,158,840.19/297,224.82
  6. Step 6: Final answer
    x = 234,482.97

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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.