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Finding the Fourth Proportional to 297,655.14, 410,771.74 and 161,696.87

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Solution

The fourth proportional to 297,655.14, 410,771.74 and 161,696.87 is: 223,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,655.14 : 410,771.74 = 161,696.87 : x
  2. Step 2: Convert to fraction form
    297,655.14/410,771.74 = 161,696.87/x
  3. Step 3: Cross multiply
    297,655.14x = 410,771.74 × 161,696.87
  4. Step 4: Simplify right side
    297,655.14x = 66,420,504,264.50
  5. Step 5: Solve for x
    x = 66,420,504,264.50/297,655.14
  6. Step 6: Final answer
    x = 223,145.83

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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.