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Finding the Fourth Proportional to 299,760.48, 412,893.36 and 208,954.08

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Solution

The fourth proportional to 299,760.48, 412,893.36 and 208,954.08 is: 287,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,760.48 : 412,893.36 = 208,954.08 : x
  2. Step 2: Convert to fraction form
    299,760.48/412,893.36 = 208,954.08/x
  3. Step 3: Cross multiply
    299,760.48x = 412,893.36 × 208,954.08
  4. Step 4: Simplify right side
    299,760.48x = 86,275,752,176.91
  5. Step 5: Solve for x
    x = 86,275,752,176.91/299,760.48
  6. Step 6: Final answer
    x = 287,815.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.