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Finding the Fourth Proportional to 383,804.52, 529,653.24 and 214,042.56

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Solution

The fourth proportional to 383,804.52, 529,653.24 and 214,042.56 is: 295,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,804.52 : 529,653.24 = 214,042.56 : x
  2. Step 2: Convert to fraction form
    383,804.52/529,653.24 = 214,042.56/x
  3. Step 3: Cross multiply
    383,804.52x = 529,653.24 × 214,042.56
  4. Step 4: Simplify right side
    383,804.52x = 113,368,335,401.89
  5. Step 5: Solve for x
    x = 113,368,335,401.89/383,804.52
  6. Step 6: Final answer
    x = 295,380.41

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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.