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Finding the Fourth Proportional to 299,795.06, 413,668.07 and 177,270.41

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Solution

The fourth proportional to 299,795.06, 413,668.07 and 177,270.41 is: 244,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,795.06 : 413,668.07 = 177,270.41 : x
  2. Step 2: Convert to fraction form
    299,795.06/413,668.07 = 177,270.41/x
  3. Step 3: Cross multiply
    299,795.06x = 413,668.07 × 177,270.41
  4. Step 4: Simplify right side
    299,795.06x = 73,331,108,372.81
  5. Step 5: Solve for x
    x = 73,331,108,372.81/299,795.06
  6. Step 6: Final answer
    x = 244,604.13

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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.