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Finding the Fourth Proportional to 297,624.07, 410,724.24 and 161,660.68

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Solution

The fourth proportional to 297,624.07, 410,724.24 and 161,660.68 is: 223,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,624.07 : 410,724.24 = 161,660.68 : x
  2. Step 2: Convert to fraction form
    297,624.07/410,724.24 = 161,660.68/x
  3. Step 3: Cross multiply
    297,624.07x = 410,724.24 × 161,660.68
  4. Step 4: Simplify right side
    297,624.07x = 66,397,959,930.88
  5. Step 5: Solve for x
    x = 66,397,959,930.88/297,624.07
  6. Step 6: Final answer
    x = 223,093.38

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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.