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Finding the Fourth Proportional to 297,298.82, 410,270.33 and 161,329.34

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Solution

The fourth proportional to 297,298.82, 410,270.33 and 161,329.34 is: 222,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,298.82 : 410,270.33 = 161,329.34 : x
  2. Step 2: Convert to fraction form
    297,298.82/410,270.33 = 161,329.34/x
  3. Step 3: Cross multiply
    297,298.82x = 410,270.33 × 161,329.34
  4. Step 4: Simplify right side
    297,298.82x = 66,188,640,753.84
  5. Step 5: Solve for x
    x = 66,188,640,753.84/297,298.82
  6. Step 6: Final answer
    x = 222,633.38

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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.