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Finding the Fourth Proportional to 274,511.41, 411,838.11 and 160,755.30

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Solution

The fourth proportional to 274,511.41, 411,838.11 and 160,755.30 is: 241,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,511.41 : 411,838.11 = 160,755.30 : x
  2. Step 2: Convert to fraction form
    274,511.41/411,838.11 = 160,755.30/x
  3. Step 3: Cross multiply
    274,511.41x = 411,838.11 × 160,755.30
  4. Step 4: Simplify right side
    274,511.41x = 66,205,158,924.48
  5. Step 5: Solve for x
    x = 66,205,158,924.48/274,511.41
  6. Step 6: Final answer
    x = 241,174.53

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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.