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Finding the Fourth Proportional to 358,297.38, 494,471.34 and 205,382.94

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Solution

The fourth proportional to 358,297.38, 494,471.34 and 205,382.94 is: 283,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,297.38 : 494,471.34 = 205,382.94 : x
  2. Step 2: Convert to fraction form
    358,297.38/494,471.34 = 205,382.94/x
  3. Step 3: Cross multiply
    358,297.38x = 494,471.34 × 205,382.94
  4. Step 4: Simplify right side
    358,297.38x = 101,555,977,554.94
  5. Step 5: Solve for x
    x = 101,555,977,554.94/358,297.38
  6. Step 6: Final answer
    x = 283,440.47

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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.