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Finding the Fourth Proportional to 383,848.38, 529,711.47 and 214,093.44

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Solution

The fourth proportional to 383,848.38, 529,711.47 and 214,093.44 is: 295,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,848.38 : 529,711.47 = 214,093.44 : x
  2. Step 2: Convert to fraction form
    383,848.38/529,711.47 = 214,093.44/x
  3. Step 3: Cross multiply
    383,848.38x = 529,711.47 × 214,093.44
  4. Step 4: Simplify right side
    383,848.38x = 113,407,750,819.76
  5. Step 5: Solve for x
    x = 113,407,750,819.76/383,848.38
  6. Step 6: Final answer
    x = 295,449.34

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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.