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Finding the Fourth Proportional to 329,644.68, 454,910.22 and 178,741.68

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Solution

The fourth proportional to 329,644.68, 454,910.22 and 178,741.68 is: 246,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,644.68 : 454,910.22 = 178,741.68 : x
  2. Step 2: Convert to fraction form
    329,644.68/454,910.22 = 178,741.68/x
  3. Step 3: Cross multiply
    329,644.68x = 454,910.22 × 178,741.68
  4. Step 4: Simplify right side
    329,644.68x = 81,311,416,971.97
  5. Step 5: Solve for x
    x = 81,311,416,971.97/329,644.68
  6. Step 6: Final answer
    x = 246,663.82

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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.