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Finding the Fourth Proportional to 297,314.46, 410,295.06 and 161,348.40

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Solution

The fourth proportional to 297,314.46, 410,295.06 and 161,348.40 is: 222,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,314.46 : 410,295.06 = 161,348.40 : x
  2. Step 2: Convert to fraction form
    297,314.46/410,295.06 = 161,348.40/x
  3. Step 3: Cross multiply
    297,314.46x = 410,295.06 × 161,348.40
  4. Step 4: Simplify right side
    297,314.46x = 66,200,451,458.90
  5. Step 5: Solve for x
    x = 66,200,451,458.90/297,314.46
  6. Step 6: Final answer
    x = 222,661.39

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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.