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Finding the Fourth Proportional to 297,361.61, 410,348.05 and 161,392.64

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Solution

The fourth proportional to 297,361.61, 410,348.05 and 161,392.64 is: 222,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,361.61 : 410,348.05 = 161,392.64 : x
  2. Step 2: Convert to fraction form
    297,361.61/410,348.05 = 161,392.64/x
  3. Step 3: Cross multiply
    297,361.61x = 410,348.05 × 161,392.64
  4. Step 4: Simplify right side
    297,361.61x = 66,227,154,301.39
  5. Step 5: Solve for x
    x = 66,227,154,301.39/297,361.61
  6. Step 6: Final answer
    x = 222,715.88

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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.