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Finding the Fourth Proportional to 323,888.22, 446,734.31 and 280,790.62

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Solution

The fourth proportional to 323,888.22, 446,734.31 and 280,790.62 is: 387,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,888.22 : 446,734.31 = 280,790.62 : x
  2. Step 2: Convert to fraction form
    323,888.22/446,734.31 = 280,790.62/x
  3. Step 3: Cross multiply
    323,888.22x = 446,734.31 × 280,790.62
  4. Step 4: Simplify right side
    323,888.22x = 125,438,801,359.38
  5. Step 5: Solve for x
    x = 125,438,801,359.38/323,888.22
  6. Step 6: Final answer
    x = 387,290.41

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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.