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Finding the Fourth Proportional to 329,905.56, 494,765.46 and 161,334.84

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Solution

The fourth proportional to 329,905.56, 494,765.46 and 161,334.84 is: 241,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,905.56 : 494,765.46 = 161,334.84 : x
  2. Step 2: Convert to fraction form
    329,905.56/494,765.46 = 161,334.84/x
  3. Step 3: Cross multiply
    329,905.56x = 494,765.46 × 161,334.84
  4. Step 4: Simplify right side
    329,905.56x = 79,822,906,326.63
  5. Step 5: Solve for x
    x = 79,822,906,326.63/329,905.56
  6. Step 6: Final answer
    x = 241,956.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.