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Finding the Fourth Proportional to 297,821.80, 446,732.70 and 171,413.20

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Solution

The fourth proportional to 297,821.80, 446,732.70 and 171,413.20 is: 257,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,821.80 : 446,732.70 = 171,413.20 : x
  2. Step 2: Convert to fraction form
    297,821.80/446,732.70 = 171,413.20/x
  3. Step 3: Cross multiply
    297,821.80x = 446,732.70 × 171,413.20
  4. Step 4: Simplify right side
    297,821.80x = 76,575,881,651.64
  5. Step 5: Solve for x
    x = 76,575,881,651.64/297,821.80
  6. Step 6: Final answer
    x = 257,119.80

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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.