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Finding the Fourth Proportional to 383,866.38, 529,736.31 and 214,111.44

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Solution

The fourth proportional to 383,866.38, 529,736.31 and 214,111.44 is: 295,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,866.38 : 529,736.31 = 214,111.44 : x
  2. Step 2: Convert to fraction form
    383,866.38/529,736.31 = 214,111.44/x
  3. Step 3: Cross multiply
    383,866.38x = 529,736.31 × 214,111.44
  4. Step 4: Simplify right side
    383,866.38x = 113,422,604,154.39
  5. Step 5: Solve for x
    x = 113,422,604,154.39/383,866.38
  6. Step 6: Final answer
    x = 295,474.18

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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.