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Finding the Fourth Proportional to 321,049.74, 443,044.17 and 185,083.95

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Solution

The fourth proportional to 321,049.74, 443,044.17 and 185,083.95 is: 255,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,049.74 : 443,044.17 = 185,083.95 : x
  2. Step 2: Convert to fraction form
    321,049.74/443,044.17 = 185,083.95/x
  3. Step 3: Cross multiply
    321,049.74x = 443,044.17 × 185,083.95
  4. Step 4: Simplify right side
    321,049.74x = 82,000,365,008.07
  5. Step 5: Solve for x
    x = 82,000,365,008.07/321,049.74
  6. Step 6: Final answer
    x = 255,413.27

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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.