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Finding the Fourth Proportional to 329,413.80, 494,908.02 and 211,315.80

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Solution

The fourth proportional to 329,413.80, 494,908.02 and 211,315.80 is: 317,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,413.80 : 494,908.02 = 211,315.80 : x
  2. Step 2: Convert to fraction form
    329,413.80/494,908.02 = 211,315.80/x
  3. Step 3: Cross multiply
    329,413.80x = 494,908.02 × 211,315.80
  4. Step 4: Simplify right side
    329,413.80x = 104,581,884,172.72
  5. Step 5: Solve for x
    x = 104,581,884,172.72/329,413.80
  6. Step 6: Final answer
    x = 317,478.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.