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Finding the Fourth Proportional to 456,994.09, 685,631.27 and 204,487.12

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Solution

The fourth proportional to 456,994.09, 685,631.27 and 204,487.12 is: 306,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,994.09 : 685,631.27 = 204,487.12 : x
  2. Step 2: Convert to fraction form
    456,994.09/685,631.27 = 204,487.12/x
  3. Step 3: Cross multiply
    456,994.09x = 685,631.27 × 204,487.12
  4. Step 4: Simplify right side
    456,994.09x = 140,202,763,784.24
  5. Step 5: Solve for x
    x = 140,202,763,784.24/456,994.09
  6. Step 6: Final answer
    x = 306,793.38

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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.