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Finding the Fourth Proportional to 297,286.60, 410,253.42 and 161,317.09

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Solution

The fourth proportional to 297,286.60, 410,253.42 and 161,317.09 is: 222,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,286.60 : 410,253.42 = 161,317.09 : x
  2. Step 2: Convert to fraction form
    297,286.60/410,253.42 = 161,317.09/x
  3. Step 3: Cross multiply
    297,286.60x = 410,253.42 × 161,317.09
  4. Step 4: Simplify right side
    297,286.60x = 66,180,886,851.31
  5. Step 5: Solve for x
    x = 66,180,886,851.31/297,286.60
  6. Step 6: Final answer
    x = 222,616.45

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1.5x scale

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.