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Finding the Fourth Proportional to 327,237.60, 490,568.40 and 221,714.40

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Solution

The fourth proportional to 327,237.60, 490,568.40 and 221,714.40 is: 332,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,237.60 : 490,568.40 = 221,714.40 : x
  2. Step 2: Convert to fraction form
    327,237.60/490,568.40 = 221,714.40/x
  3. Step 3: Cross multiply
    327,237.60x = 490,568.40 × 221,714.40
  4. Step 4: Simplify right side
    327,237.60x = 108,766,078,464.96
  5. Step 5: Solve for x
    x = 108,766,078,464.96/327,237.60
  6. Step 6: Final answer
    x = 332,376.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.