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Finding the Fourth Proportional to 297,115.74, 410,047.74 and 169,766.64

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Solution

The fourth proportional to 297,115.74, 410,047.74 and 169,766.64 is: 234,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,115.74 : 410,047.74 = 169,766.64 : x
  2. Step 2: Convert to fraction form
    297,115.74/410,047.74 = 169,766.64/x
  3. Step 3: Cross multiply
    297,115.74x = 410,047.74 × 169,766.64
  4. Step 4: Simplify right side
    297,115.74x = 69,612,427,059.39
  5. Step 5: Solve for x
    x = 69,612,427,059.39/297,115.74
  6. Step 6: Final answer
    x = 234,293.97

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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.