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Finding the Fourth Proportional to 324,694.80, 447,788.70 and 203,847.35

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Solution

The fourth proportional to 324,694.80, 447,788.70 and 203,847.35 is: 281,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,694.80 : 447,788.70 = 203,847.35 : x
  2. Step 2: Convert to fraction form
    324,694.80/447,788.70 = 203,847.35/x
  3. Step 3: Cross multiply
    324,694.80x = 447,788.70 × 203,847.35
  4. Step 4: Simplify right side
    324,694.80x = 91,280,537,616.00
  5. Step 5: Solve for x
    x = 91,280,537,616.00/324,694.80
  6. Step 6: Final answer
    x = 281,127.19

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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.