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Finding the Fourth Proportional to 297,821.80, 410,954.34 and 168,757.48

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Solution

The fourth proportional to 297,821.80, 410,954.34 and 168,757.48 is: 232,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,821.80 : 410,954.34 = 168,757.48 : x
  2. Step 2: Convert to fraction form
    297,821.80/410,954.34 = 168,757.48/x
  3. Step 3: Cross multiply
    297,821.80x = 410,954.34 × 168,757.48
  4. Step 4: Simplify right side
    297,821.80x = 69,351,618,813.46
  5. Step 5: Solve for x
    x = 69,351,618,813.46/297,821.80
  6. Step 6: Final answer
    x = 232,862.80

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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.