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Finding the Fourth Proportional to 299,246.33, 412,959.77 and 191,816.30

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Solution

The fourth proportional to 299,246.33, 412,959.77 and 191,816.30 is: 264,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,246.33 : 412,959.77 = 191,816.30 : x
  2. Step 2: Convert to fraction form
    299,246.33/412,959.77 = 191,816.30/x
  3. Step 3: Cross multiply
    299,246.33x = 412,959.77 × 191,816.30
  4. Step 4: Simplify right side
    299,246.33x = 79,212,415,922.88
  5. Step 5: Solve for x
    x = 79,212,415,922.88/299,246.33
  6. Step 6: Final answer
    x = 264,706.39

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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.