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Finding the Fourth Proportional to 493,905.80, 741,204.30 and 213,624.20

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Solution

The fourth proportional to 493,905.80, 741,204.30 and 213,624.20 is: 320,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,905.80 : 741,204.30 = 213,624.20 : x
  2. Step 2: Convert to fraction form
    493,905.80/741,204.30 = 213,624.20/x
  3. Step 3: Cross multiply
    493,905.80x = 741,204.30 × 213,624.20
  4. Step 4: Simplify right side
    493,905.80x = 158,339,175,624.06
  5. Step 5: Solve for x
    x = 158,339,175,624.06/493,905.80
  6. Step 6: Final answer
    x = 320,585.78

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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.