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Finding the Fourth Proportional to 561,542.26, 774,926.44 and 306,893.38

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Solution

The fourth proportional to 561,542.26, 774,926.44 and 306,893.38 is: 423,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,542.26 : 774,926.44 = 306,893.38 : x
  2. Step 2: Convert to fraction form
    561,542.26/774,926.44 = 306,893.38/x
  3. Step 3: Cross multiply
    561,542.26x = 774,926.44 × 306,893.38
  4. Step 4: Simplify right side
    561,542.26x = 237,819,794,422.97
  5. Step 5: Solve for x
    x = 237,819,794,422.97/561,542.26
  6. Step 6: Final answer
    x = 423,511.84

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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.