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Finding the Fourth Proportional to 365,215.24, 504,016.50 and 204,074.20

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Solution

The fourth proportional to 365,215.24, 504,016.50 and 204,074.20 is: 281,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,215.24 : 504,016.50 = 204,074.20 : x
  2. Step 2: Convert to fraction form
    365,215.24/504,016.50 = 204,074.20/x
  3. Step 3: Cross multiply
    365,215.24x = 504,016.50 × 204,074.20
  4. Step 4: Simplify right side
    365,215.24x = 102,856,764,024.30
  5. Step 5: Solve for x
    x = 102,856,764,024.30/365,215.24
  6. Step 6: Final answer
    x = 281,633.27

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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.