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Finding the Fourth Proportional to 299,657.60, 449,486.40 and 270,166.40

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Solution

The fourth proportional to 299,657.60, 449,486.40 and 270,166.40 is: 405,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,657.60 : 449,486.40 = 270,166.40 : x
  2. Step 2: Convert to fraction form
    299,657.60/449,486.40 = 270,166.40/x
  3. Step 3: Cross multiply
    299,657.60x = 449,486.40 × 270,166.40
  4. Step 4: Simplify right side
    299,657.60x = 121,436,122,536.96
  5. Step 5: Solve for x
    x = 121,436,122,536.96/299,657.60
  6. Step 6: Final answer
    x = 405,249.60

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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.