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Finding the Fourth Proportional to 299,542.41, 413,421.92 and 177,029.79

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Solution

The fourth proportional to 299,542.41, 413,421.92 and 177,029.79 is: 244,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,542.41 : 413,421.92 = 177,029.79 : x
  2. Step 2: Convert to fraction form
    299,542.41/413,421.92 = 177,029.79/x
  3. Step 3: Cross multiply
    299,542.41x = 413,421.92 × 177,029.79
  4. Step 4: Simplify right side
    299,542.41x = 73,187,993,907.38
  5. Step 5: Solve for x
    x = 73,187,993,907.38/299,542.41
  6. Step 6: Final answer
    x = 244,332.66

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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.