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Finding the Fourth Proportional to 365,694.89, 504,455.85 and 212,715.86

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Solution

The fourth proportional to 365,694.89, 504,455.85 and 212,715.86 is: 293,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,694.89 : 504,455.85 = 212,715.86 : x
  2. Step 2: Convert to fraction form
    365,694.89/504,455.85 = 212,715.86/x
  3. Step 3: Cross multiply
    365,694.89x = 504,455.85 × 212,715.86
  4. Step 4: Simplify right side
    365,694.89x = 107,305,757,442.50
  5. Step 5: Solve for x
    x = 107,305,757,442.50/365,694.89
  6. Step 6: Final answer
    x = 293,429.75

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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.