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Finding the Fourth Proportional to 311,551.26, 429,658.47 and 204,082.08

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Solution

The fourth proportional to 311,551.26, 429,658.47 and 204,082.08 is: 281,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,551.26 : 429,658.47 = 204,082.08 : x
  2. Step 2: Convert to fraction form
    311,551.26/429,658.47 = 204,082.08/x
  3. Step 3: Cross multiply
    311,551.26x = 429,658.47 × 204,082.08
  4. Step 4: Simplify right side
    311,551.26x = 87,685,594,247.22
  5. Step 5: Solve for x
    x = 87,685,594,247.22/311,551.26
  6. Step 6: Final answer
    x = 281,448.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.