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Finding the Fourth Proportional to 297,811.20, 446,716.80 and 209,164.80

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Solution

The fourth proportional to 297,811.20, 446,716.80 and 209,164.80 is: 313,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,811.20 : 446,716.80 = 209,164.80 : x
  2. Step 2: Convert to fraction form
    297,811.20/446,716.80 = 209,164.80/x
  3. Step 3: Cross multiply
    297,811.20x = 446,716.80 × 209,164.80
  4. Step 4: Simplify right side
    297,811.20x = 93,437,430,128.64
  5. Step 5: Solve for x
    x = 93,437,430,128.64/297,811.20
  6. Step 6: Final answer
    x = 313,747.20

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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.