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Finding the Fourth Proportional to 383,847, 529,708.86 and 214,081.26

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Solution

The fourth proportional to 383,847, 529,708.86 and 214,081.26 is: 295,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,847 : 529,708.86 = 214,081.26 : x
  2. Step 2: Convert to fraction form
    383,847/529,708.86 = 214,081.26/x
  3. Step 3: Cross multiply
    383,847x = 529,708.86 × 214,081.26
  4. Step 4: Simplify right side
    383,847x = 113,400,740,181.96
  5. Step 5: Solve for x
    x = 113,400,740,181.96/383,847
  6. Step 6: Final answer
    x = 295,432.14

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Why These Related Problems?

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