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Finding the Fourth Proportional to 298,379.23, 411,726.81 and 177,525.61

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Solution

The fourth proportional to 298,379.23, 411,726.81 and 177,525.61 is: 244,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,379.23 : 411,726.81 = 177,525.61 : x
  2. Step 2: Convert to fraction form
    298,379.23/411,726.81 = 177,525.61/x
  3. Step 3: Cross multiply
    298,379.23x = 411,726.81 × 177,525.61
  4. Step 4: Simplify right side
    298,379.23x = 73,092,053,098.60
  5. Step 5: Solve for x
    x = 73,092,053,098.60/298,379.23
  6. Step 6: Final answer
    x = 244,963.61

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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.