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Finding the Fourth Proportional to 506,198.45, 759,507.26 and 221,742.05

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Solution

The fourth proportional to 506,198.45, 759,507.26 and 221,742.05 is: 332,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,198.45 : 759,507.26 = 221,742.05 : x
  2. Step 2: Convert to fraction form
    506,198.45/759,507.26 = 221,742.05/x
  3. Step 3: Cross multiply
    506,198.45x = 759,507.26 × 221,742.05
  4. Step 4: Simplify right side
    506,198.45x = 168,414,691,916.04
  5. Step 5: Solve for x
    x = 168,414,691,916.04/506,198.45
  6. Step 6: Final answer
    x = 332,704.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.