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Finding the Fourth Proportional to 301,872.80, 452,809.20 and 269,213.60

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Solution

The fourth proportional to 301,872.80, 452,809.20 and 269,213.60 is: 403,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872.80 : 452,809.20 = 269,213.60 : x
  2. Step 2: Convert to fraction form
    301,872.80/452,809.20 = 269,213.60/x
  3. Step 3: Cross multiply
    301,872.80x = 452,809.20 × 269,213.60
  4. Step 4: Simplify right side
    301,872.80x = 121,902,394,845.12
  5. Step 5: Solve for x
    x = 121,902,394,845.12/301,872.80
  6. Step 6: Final answer
    x = 403,820.40

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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.