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Finding the Fourth Proportional to 290,883.76, 401,414.25 and 161,821.60

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Solution

The fourth proportional to 290,883.76, 401,414.25 and 161,821.60 is: 223,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,883.76 : 401,414.25 = 161,821.60 : x
  2. Step 2: Convert to fraction form
    290,883.76/401,414.25 = 161,821.60/x
  3. Step 3: Cross multiply
    290,883.76x = 401,414.25 × 161,821.60
  4. Step 4: Simplify right side
    290,883.76x = 64,957,496,197.80
  5. Step 5: Solve for x
    x = 64,957,496,197.80/290,883.76
  6. Step 6: Final answer
    x = 223,310.84

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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.