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Finding the Fourth Proportional to 299,830.44, 413,726.13 and 192,545.78

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Solution

The fourth proportional to 299,830.44, 413,726.13 and 192,545.78 is: 265,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,830.44 : 413,726.13 = 192,545.78 : x
  2. Step 2: Convert to fraction form
    299,830.44/413,726.13 = 192,545.78/x
  3. Step 3: Cross multiply
    299,830.44x = 413,726.13 × 192,545.78
  4. Step 4: Simplify right side
    299,830.44x = 79,661,221,829.42
  5. Step 5: Solve for x
    x = 79,661,221,829.42/299,830.44
  6. Step 6: Final answer
    x = 265,687.58

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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.