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Finding the Fourth Proportional to 297,196.40, 446,086.20 and 147,605.60

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Solution

The fourth proportional to 297,196.40, 446,086.20 and 147,605.60 is: 221,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,196.40 : 446,086.20 = 147,605.60 : x
  2. Step 2: Convert to fraction form
    297,196.40/446,086.20 = 147,605.60/x
  3. Step 3: Cross multiply
    297,196.40x = 446,086.20 × 147,605.60
  4. Step 4: Simplify right side
    297,196.40x = 65,844,821,202.72
  5. Step 5: Solve for x
    x = 65,844,821,202.72/297,196.40
  6. Step 6: Final answer
    x = 221,553.23

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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.