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Finding the Fourth Proportional to 297,811.87, 410,983.56 and 161,847.70

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Solution

The fourth proportional to 297,811.87, 410,983.56 and 161,847.70 is: 223,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,811.87 : 410,983.56 = 161,847.70 : x
  2. Step 2: Convert to fraction form
    297,811.87/410,983.56 = 161,847.70/x
  3. Step 3: Cross multiply
    297,811.87x = 410,983.56 × 161,847.70
  4. Step 4: Simplify right side
    297,811.87x = 66,516,743,923.81
  5. Step 5: Solve for x
    x = 66,516,743,923.81/297,811.87
  6. Step 6: Final answer
    x = 223,351.55

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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.