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Finding the Fourth Proportional to 323,446.13, 446,358.71 and 178,257.22

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Solution

The fourth proportional to 323,446.13, 446,358.71 and 178,257.22 is: 245,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,446.13 : 446,358.71 = 178,257.22 : x
  2. Step 2: Convert to fraction form
    323,446.13/446,358.71 = 178,257.22/x
  3. Step 3: Cross multiply
    323,446.13x = 446,358.71 × 178,257.22
  4. Step 4: Simplify right side
    323,446.13x = 79,566,664,458.87
  5. Step 5: Solve for x
    x = 79,566,664,458.87/323,446.13
  6. Step 6: Final answer
    x = 245,996.65

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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.