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Finding the Fourth Proportional to 297,363.47, 410,361.93 and 161,397.41

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Solution

The fourth proportional to 297,363.47, 410,361.93 and 161,397.41 is: 222,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,363.47 : 410,361.93 = 161,397.41 : x
  2. Step 2: Convert to fraction form
    297,363.47/410,361.93 = 161,397.41/x
  3. Step 3: Cross multiply
    297,363.47x = 410,361.93 × 161,397.41
  4. Step 4: Simplify right side
    297,363.47x = 66,231,350,612.79
  5. Step 5: Solve for x
    x = 66,231,350,612.79/297,363.47
  6. Step 6: Final answer
    x = 222,728.61

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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.