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Finding the Fourth Proportional to 297,033.84, 409,907.66 and 161,067.69

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Solution

The fourth proportional to 297,033.84, 409,907.66 and 161,067.69 is: 222,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,033.84 : 409,907.66 = 161,067.69 : x
  2. Step 2: Convert to fraction form
    297,033.84/409,907.66 = 161,067.69/x
  3. Step 3: Cross multiply
    297,033.84x = 409,907.66 × 161,067.69
  4. Step 4: Simplify right side
    297,033.84x = 66,022,879,104.17
  5. Step 5: Solve for x
    x = 66,022,879,104.17/297,033.84
  6. Step 6: Final answer
    x = 222,273.93

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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.