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Finding the Fourth Proportional to 274,500.19, 411,583.43 and 114,382.63

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Solution

The fourth proportional to 274,500.19, 411,583.43 and 114,382.63 is: 171,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,500.19 : 411,583.43 = 114,382.63 : x
  2. Step 2: Convert to fraction form
    274,500.19/411,583.43 = 114,382.63/x
  3. Step 3: Cross multiply
    274,500.19x = 411,583.43 × 114,382.63
  4. Step 4: Simplify right side
    274,500.19x = 47,077,995,344.85
  5. Step 5: Solve for x
    x = 47,077,995,344.85/274,500.19
  6. Step 6: Final answer
    x = 171,504.42

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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.