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Finding the Fourth Proportional to 297,629.52, 410,736 and 161,661.92

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Solution

The fourth proportional to 297,629.52, 410,736 and 161,661.92 is: 223,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,629.52 : 410,736 = 161,661.92 : x
  2. Step 2: Convert to fraction form
    297,629.52/410,736 = 161,661.92/x
  3. Step 3: Cross multiply
    297,629.52x = 410,736 × 161,661.92
  4. Step 4: Simplify right side
    297,629.52x = 66,400,368,319.44
  5. Step 5: Solve for x
    x = 66,400,368,319.44/297,629.52
  6. Step 6: Final answer
    x = 223,097.39

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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.