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Finding the Fourth Proportional to 319,709.35, 441,198.95 and 176,469.44

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Solution

The fourth proportional to 319,709.35, 441,198.95 and 176,469.44 is: 243,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,709.35 : 441,198.95 = 176,469.44 : x
  2. Step 2: Convert to fraction form
    319,709.35/441,198.95 = 176,469.44/x
  3. Step 3: Cross multiply
    319,709.35x = 441,198.95 × 176,469.44
  4. Step 4: Simplify right side
    319,709.35x = 77,858,131,855.74
  5. Step 5: Solve for x
    x = 77,858,131,855.74/319,709.35
  6. Step 6: Final answer
    x = 243,527.86

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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.