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Finding the Fourth Proportional to 321,413.94, 443,521.42 and 178,161.80

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Solution

The fourth proportional to 321,413.94, 443,521.42 and 178,161.80 is: 245,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413.94 : 443,521.42 = 178,161.80 : x
  2. Step 2: Convert to fraction form
    321,413.94/443,521.42 = 178,161.80/x
  3. Step 3: Cross multiply
    321,413.94x = 443,521.42 × 178,161.80
  4. Step 4: Simplify right side
    321,413.94x = 79,018,574,525.76
  5. Step 5: Solve for x
    x = 79,018,574,525.76/321,413.94
  6. Step 6: Final answer
    x = 245,846.76

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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.