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Finding the Fourth Proportional to 321,413.51, 443,520.81 and 178,161.36

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Solution

The fourth proportional to 321,413.51, 443,520.81 and 178,161.36 is: 245,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413.51 : 443,520.81 = 178,161.36 : x
  2. Step 2: Convert to fraction form
    321,413.51/443,520.81 = 178,161.36/x
  3. Step 3: Cross multiply
    321,413.51x = 443,520.81 × 178,161.36
  4. Step 4: Simplify right side
    321,413.51x = 79,018,270,697.90
  5. Step 5: Solve for x
    x = 79,018,270,697.90/321,413.51
  6. Step 6: Final answer
    x = 245,846.14

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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.