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Finding the Fourth Proportional to 301,968.73, 416,757.27 and 194,850.19

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Solution

The fourth proportional to 301,968.73, 416,757.27 and 194,850.19 is: 268,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,968.73 : 416,757.27 = 194,850.19 : x
  2. Step 2: Convert to fraction form
    301,968.73/416,757.27 = 194,850.19/x
  3. Step 3: Cross multiply
    301,968.73x = 416,757.27 × 194,850.19
  4. Step 4: Simplify right side
    301,968.73x = 81,205,233,243.38
  5. Step 5: Solve for x
    x = 81,205,233,243.38/301,968.73
  6. Step 6: Final answer
    x = 268,919.35

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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.