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Finding the Fourth Proportional to 299,796.06, 413,669.45 and 177,271.41

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Solution

The fourth proportional to 299,796.06, 413,669.45 and 177,271.41 is: 244,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796.06 : 413,669.45 = 177,271.41 : x
  2. Step 2: Convert to fraction form
    299,796.06/413,669.45 = 177,271.41/x
  3. Step 3: Cross multiply
    299,796.06x = 413,669.45 × 177,271.41
  4. Step 4: Simplify right side
    299,796.06x = 73,331,765,789.07
  5. Step 5: Solve for x
    x = 73,331,765,789.07/299,796.06
  6. Step 6: Final answer
    x = 244,605.50

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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.