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Finding the Fourth Proportional to 358,666.26, 494,940.49 and 205,696.55

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Solution

The fourth proportional to 358,666.26, 494,940.49 and 205,696.55 is: 283,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,666.26 : 494,940.49 = 205,696.55 : x
  2. Step 2: Convert to fraction form
    358,666.26/494,940.49 = 205,696.55/x
  3. Step 3: Cross multiply
    358,666.26x = 494,940.49 × 205,696.55
  4. Step 4: Simplify right side
    358,666.26x = 101,807,548,259.37
  5. Step 5: Solve for x
    x = 101,807,548,259.37/358,666.26
  6. Step 6: Final answer
    x = 283,850.36

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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.