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Finding the Fourth Proportional to 311,004.30, 466,506.45 and 204,098.70

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Solution

The fourth proportional to 311,004.30, 466,506.45 and 204,098.70 is: 306,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,004.30 : 466,506.45 = 204,098.70 : x
  2. Step 2: Convert to fraction form
    311,004.30/466,506.45 = 204,098.70/x
  3. Step 3: Cross multiply
    311,004.30x = 466,506.45 × 204,098.70
  4. Step 4: Simplify right side
    311,004.30x = 95,213,359,986.62
  5. Step 5: Solve for x
    x = 95,213,359,986.62/311,004.30
  6. Step 6: Final answer
    x = 306,148.05

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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.