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Finding the Fourth Proportional to 588,471.75, 882,838.85 and 214,494.75

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Solution

The fourth proportional to 588,471.75, 882,838.85 and 214,494.75 is: 321,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,471.75 : 882,838.85 = 214,494.75 : x
  2. Step 2: Convert to fraction form
    588,471.75/882,838.85 = 214,494.75/x
  3. Step 3: Cross multiply
    588,471.75x = 882,838.85 × 214,494.75
  4. Step 4: Simplify right side
    588,471.75x = 189,364,297,348.56
  5. Step 5: Solve for x
    x = 189,364,297,348.56/588,471.75
  6. Step 6: Final answer
    x = 321,789.95

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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.