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Finding the Fourth Proportional to 274,348.22, 411,571.47 and 96,958.22

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Solution

The fourth proportional to 274,348.22, 411,571.47 and 96,958.22 is: 145,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,348.22 : 411,571.47 = 96,958.22 : x
  2. Step 2: Convert to fraction form
    274,348.22/411,571.47 = 96,958.22/x
  3. Step 3: Cross multiply
    274,348.22x = 411,571.47 × 96,958.22
  4. Step 4: Simplify right side
    274,348.22x = 39,905,237,133.98
  5. Step 5: Solve for x
    x = 39,905,237,133.98/274,348.22
  6. Step 6: Final answer
    x = 145,454.70

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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.