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Finding the Fourth Proportional to 321,752.90, 444,072.30 and 178,558.94

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Solution

The fourth proportional to 321,752.90, 444,072.30 and 178,558.94 is: 246,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,752.90 : 444,072.30 = 178,558.94 : x
  2. Step 2: Convert to fraction form
    321,752.90/444,072.30 = 178,558.94/x
  3. Step 3: Cross multiply
    321,752.90x = 444,072.30 × 178,558.94
  4. Step 4: Simplify right side
    321,752.90x = 79,293,079,171.36
  5. Step 5: Solve for x
    x = 79,293,079,171.36/321,752.90
  6. Step 6: Final answer
    x = 246,440.92

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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.