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Finding the Fourth Proportional to 297,449.44, 410,328.18 and 189,906.48

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Solution

The fourth proportional to 297,449.44, 410,328.18 and 189,906.48 is: 261,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,449.44 : 410,328.18 = 189,906.48 : x
  2. Step 2: Convert to fraction form
    297,449.44/410,328.18 = 189,906.48/x
  3. Step 3: Cross multiply
    297,449.44x = 410,328.18 × 189,906.48
  4. Step 4: Simplify right side
    297,449.44x = 77,923,980,308.61
  5. Step 5: Solve for x
    x = 77,923,980,308.61/297,449.44
  6. Step 6: Final answer
    x = 261,973.87

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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.