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Finding the Fourth Proportional to 383,849.38, 529,712.85 and 214,094.44

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Solution

The fourth proportional to 383,849.38, 529,712.85 and 214,094.44 is: 295,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,849.38 : 529,712.85 = 214,094.44 : x
  2. Step 2: Convert to fraction form
    383,849.38/529,712.85 = 214,094.44/x
  3. Step 3: Cross multiply
    383,849.38x = 529,712.85 × 214,094.44
  4. Step 4: Simplify right side
    383,849.38x = 113,408,575,981.55
  5. Step 5: Solve for x
    x = 113,408,575,981.55/383,849.38
  6. Step 6: Final answer
    x = 295,450.72

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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.