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Finding the Fourth Proportional to 309,733.70, 464,600.55 and 215,255.30

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Solution

The fourth proportional to 309,733.70, 464,600.55 and 215,255.30 is: 322,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,733.70 : 464,600.55 = 215,255.30 : x
  2. Step 2: Convert to fraction form
    309,733.70/464,600.55 = 215,255.30/x
  3. Step 3: Cross multiply
    309,733.70x = 464,600.55 × 215,255.30
  4. Step 4: Simplify right side
    309,733.70x = 100,007,730,770.42
  5. Step 5: Solve for x
    x = 100,007,730,770.42/309,733.70
  6. Step 6: Final answer
    x = 322,882.95

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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.