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Finding the Fourth Proportional to 273,297.75, 410,015.82 and 193,492.07

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Solution

The fourth proportional to 273,297.75, 410,015.82 and 193,492.07 is: 290,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,297.75 : 410,015.82 = 193,492.07 : x
  2. Step 2: Convert to fraction form
    273,297.75/410,015.82 = 193,492.07/x
  3. Step 3: Cross multiply
    273,297.75x = 410,015.82 × 193,492.07
  4. Step 4: Simplify right side
    273,297.75x = 79,334,809,744.55
  5. Step 5: Solve for x
    x = 79,334,809,744.55/273,297.75
  6. Step 6: Final answer
    x = 290,287.09

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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.