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Finding the Fourth Proportional to 381,833.14, 526,898.82 and 220,698.58

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Solution

The fourth proportional to 381,833.14, 526,898.82 and 220,698.58 is: 304,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,833.14 : 526,898.82 = 220,698.58 : x
  2. Step 2: Convert to fraction form
    381,833.14/526,898.82 = 220,698.58/x
  3. Step 3: Cross multiply
    381,833.14x = 526,898.82 × 220,698.58
  4. Step 4: Simplify right side
    381,833.14x = 116,285,821,377.68
  5. Step 5: Solve for x
    x = 116,285,821,377.68/381,833.14
  6. Step 6: Final answer
    x = 304,546.17

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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.