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Finding the Fourth Proportional to 323,942.64, 447,043.74 and 178,754.88

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Solution

The fourth proportional to 323,942.64, 447,043.74 and 178,754.88 is: 246,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,942.64 : 447,043.74 = 178,754.88 : x
  2. Step 2: Convert to fraction form
    323,942.64/447,043.74 = 178,754.88/x
  3. Step 3: Cross multiply
    323,942.64x = 447,043.74 × 178,754.88
  4. Step 4: Simplify right side
    323,942.64x = 79,911,250,098.45
  5. Step 5: Solve for x
    x = 79,911,250,098.45/323,942.64
  6. Step 6: Final answer
    x = 246,683.33

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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.