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Finding the Fourth Proportional to 360,469.44, 497,445.12 and 201,493.44

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Solution

The fourth proportional to 360,469.44, 497,445.12 and 201,493.44 is: 278,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,469.44 : 497,445.12 = 201,493.44 : x
  2. Step 2: Convert to fraction form
    360,469.44/497,445.12 = 201,493.44/x
  3. Step 3: Cross multiply
    360,469.44x = 497,445.12 × 201,493.44
  4. Step 4: Simplify right side
    360,469.44x = 100,231,928,440.01
  5. Step 5: Solve for x
    x = 100,231,928,440.01/360,469.44
  6. Step 6: Final answer
    x = 278,059.43

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1.5x scale

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.