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Finding the Fourth Proportional to 297,825.60, 446,738.40 and 213,844.80

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Solution

The fourth proportional to 297,825.60, 446,738.40 and 213,844.80 is: 320,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,825.60 : 446,738.40 = 213,844.80 : x
  2. Step 2: Convert to fraction form
    297,825.60/446,738.40 = 213,844.80/x
  3. Step 3: Cross multiply
    297,825.60x = 446,738.40 × 213,844.80
  4. Step 4: Simplify right side
    297,825.60x = 95,532,683,800.32
  5. Step 5: Solve for x
    x = 95,532,683,800.32/297,825.60
  6. Step 6: Final answer
    x = 320,767.20

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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.