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Finding the Fourth Proportional to 297,634.32, 410,739.84 and 161,670.96

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Solution

The fourth proportional to 297,634.32, 410,739.84 and 161,670.96 is: 223,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,634.32 : 410,739.84 = 161,670.96 : x
  2. Step 2: Convert to fraction form
    297,634.32/410,739.84 = 161,670.96/x
  3. Step 3: Cross multiply
    297,634.32x = 410,739.84 × 161,670.96
  4. Step 4: Simplify right side
    297,634.32x = 66,404,704,243.05
  5. Step 5: Solve for x
    x = 66,404,704,243.05/297,634.32
  6. Step 6: Final answer
    x = 223,108.36

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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.