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Finding the Fourth Proportional to 383,851.38, 529,715.61 and 214,096.44

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Solution

The fourth proportional to 383,851.38, 529,715.61 and 214,096.44 is: 295,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,851.38 : 529,715.61 = 214,096.44 : x
  2. Step 2: Convert to fraction form
    383,851.38/529,715.61 = 214,096.44/x
  3. Step 3: Cross multiply
    383,851.38x = 529,715.61 × 214,096.44
  4. Step 4: Simplify right side
    383,851.38x = 113,410,226,313.43
  5. Step 5: Solve for x
    x = 113,410,226,313.43/383,851.38
  6. Step 6: Final answer
    x = 295,453.48

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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.