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Finding the Fourth Proportional to 297,685.72, 410,804.66 and 161,718.60

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Solution

The fourth proportional to 297,685.72, 410,804.66 and 161,718.60 is: 223,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,685.72 : 410,804.66 = 161,718.60 : x
  2. Step 2: Convert to fraction form
    297,685.72/410,804.66 = 161,718.60/x
  3. Step 3: Cross multiply
    297,685.72x = 410,804.66 × 161,718.60
  4. Step 4: Simplify right side
    297,685.72x = 66,434,754,488.68
  5. Step 5: Solve for x
    x = 66,434,754,488.68/297,685.72
  6. Step 6: Final answer
    x = 223,170.78

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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.