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Finding the Fourth Proportional to 383,857.38, 529,723.95 and 214,102.50

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Solution

The fourth proportional to 383,857.38, 529,723.95 and 214,102.50 is: 295,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,857.38 : 529,723.95 = 214,102.50 : x
  2. Step 2: Convert to fraction form
    383,857.38/529,723.95 = 214,102.50/x
  3. Step 3: Cross multiply
    383,857.38x = 529,723.95 × 214,102.50
  4. Step 4: Simplify right side
    383,857.38x = 113,415,222,004.88
  5. Step 5: Solve for x
    x = 113,415,222,004.88/383,857.38
  6. Step 6: Final answer
    x = 295,461.88

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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.