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Finding the Fourth Proportional to 311,865.30, 466,813.80 and 302,023.80

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Solution

The fourth proportional to 311,865.30, 466,813.80 and 302,023.80 is: 452,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,865.30 : 466,813.80 = 302,023.80 : x
  2. Step 2: Convert to fraction form
    311,865.30/466,813.80 = 302,023.80/x
  3. Step 3: Cross multiply
    311,865.30x = 466,813.80 × 302,023.80
  4. Step 4: Simplify right side
    311,865.30x = 140,988,877,768.44
  5. Step 5: Solve for x
    x = 140,988,877,768.44/311,865.30
  6. Step 6: Final answer
    x = 452,082.61

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Why These Related Problems?

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