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Finding the Fourth Proportional to 297,284.30, 410,250.26 and 161,314.79

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Solution

The fourth proportional to 297,284.30, 410,250.26 and 161,314.79 is: 222,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,284.30 : 410,250.26 = 161,314.79 : x
  2. Step 2: Convert to fraction form
    297,284.30/410,250.26 = 161,314.79/x
  3. Step 3: Cross multiply
    297,284.30x = 410,250.26 × 161,314.79
  4. Step 4: Simplify right side
    297,284.30x = 66,179,434,064.79
  5. Step 5: Solve for x
    x = 66,179,434,064.79/297,284.30
  6. Step 6: Final answer
    x = 222,613.28

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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.