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Finding the Fourth Proportional to 300,786.38, 415,085.21 and 179,932.76

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Solution

The fourth proportional to 300,786.38, 415,085.21 and 179,932.76 is: 248,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,786.38 : 415,085.21 = 179,932.76 : x
  2. Step 2: Convert to fraction form
    300,786.38/415,085.21 = 179,932.76/x
  3. Step 3: Cross multiply
    300,786.38x = 415,085.21 × 179,932.76
  4. Step 4: Simplify right side
    300,786.38x = 74,687,424,495.39
  5. Step 5: Solve for x
    x = 74,687,424,495.39/300,786.38
  6. Step 6: Final answer
    x = 248,307.21

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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.