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Finding the Fourth Proportional to 297,364.38, 410,363.24 and 161,398.32

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Solution

The fourth proportional to 297,364.38, 410,363.24 and 161,398.32 is: 222,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,364.38 : 410,363.24 = 161,398.32 : x
  2. Step 2: Convert to fraction form
    297,364.38/410,363.24 = 161,398.32/x
  3. Step 3: Cross multiply
    297,364.38x = 410,363.24 × 161,398.32
  4. Step 4: Simplify right side
    297,364.38x = 66,231,936,718.77
  5. Step 5: Solve for x
    x = 66,231,936,718.77/297,364.38
  6. Step 6: Final answer
    x = 222,729.89

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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.