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Finding the Fourth Proportional to 323,374.38, 446,441.61 and 214,626.19

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Solution

The fourth proportional to 323,374.38, 446,441.61 and 214,626.19 is: 296,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,374.38 : 446,441.61 = 214,626.19 : x
  2. Step 2: Convert to fraction form
    323,374.38/446,441.61 = 214,626.19/x
  3. Step 3: Cross multiply
    323,374.38x = 446,441.61 × 214,626.19
  4. Step 4: Simplify right side
    323,374.38x = 95,818,059,579.56
  5. Step 5: Solve for x
    x = 95,818,059,579.56/323,374.38
  6. Step 6: Final answer
    x = 296,306.90

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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.