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Finding the Fourth Proportional to 300,786.76, 415,085.70 and 179,933.12

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Solution

The fourth proportional to 300,786.76, 415,085.70 and 179,933.12 is: 248,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,786.76 : 415,085.70 = 179,933.12 : x
  2. Step 2: Convert to fraction form
    300,786.76/415,085.70 = 179,933.12/x
  3. Step 3: Cross multiply
    300,786.76x = 415,085.70 × 179,933.12
  4. Step 4: Simplify right side
    300,786.76x = 74,687,665,068.38
  5. Step 5: Solve for x
    x = 74,687,665,068.38/300,786.76
  6. Step 6: Final answer
    x = 248,307.69

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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.