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Finding the Fourth Proportional to 297,869.20, 446,803.80 and 209,222.80

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Solution

The fourth proportional to 297,869.20, 446,803.80 and 209,222.80 is: 313,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,869.20 : 446,803.80 = 209,222.80 : x
  2. Step 2: Convert to fraction form
    297,869.20/446,803.80 = 209,222.80/x
  3. Step 3: Cross multiply
    297,869.20x = 446,803.80 × 209,222.80
  4. Step 4: Simplify right side
    297,869.20x = 93,481,542,086.64
  5. Step 5: Solve for x
    x = 93,481,542,086.64/297,869.20
  6. Step 6: Final answer
    x = 313,834.20

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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.