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Finding the Fourth Proportional to 494,266.12, 741,486.64 and 186,511.48

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Solution

The fourth proportional to 494,266.12, 741,486.64 and 186,511.48 is: 279,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,266.12 : 741,486.64 = 186,511.48 : x
  2. Step 2: Convert to fraction form
    494,266.12/741,486.64 = 186,511.48/x
  3. Step 3: Cross multiply
    494,266.12x = 741,486.64 × 186,511.48
  4. Step 4: Simplify right side
    494,266.12x = 138,295,770,626.63
  5. Step 5: Solve for x
    x = 138,295,770,626.63/494,266.12
  6. Step 6: Final answer
    x = 279,800.22

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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.