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Finding the Fourth Proportional to 441,157.32, 661,801.86 and 204,523.92

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Solution

The fourth proportional to 441,157.32, 661,801.86 and 204,523.92 is: 306,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,157.32 : 661,801.86 = 204,523.92 : x
  2. Step 2: Convert to fraction form
    441,157.32/661,801.86 = 204,523.92/x
  3. Step 3: Cross multiply
    441,157.32x = 661,801.86 × 204,523.92
  4. Step 4: Simplify right side
    441,157.32x = 135,354,310,670.49
  5. Step 5: Solve for x
    x = 135,354,310,670.49/441,157.32
  6. Step 6: Final answer
    x = 306,816.42

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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.