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Finding the Fourth Proportional to 501,191.84, 691,640.16 and 274,832.48

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Solution

The fourth proportional to 501,191.84, 691,640.16 and 274,832.48 is: 379,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,191.84 : 691,640.16 = 274,832.48 : x
  2. Step 2: Convert to fraction form
    501,191.84/691,640.16 = 274,832.48/x
  3. Step 3: Cross multiply
    501,191.84x = 691,640.16 × 274,832.48
  4. Step 4: Simplify right side
    501,191.84x = 190,085,180,440.40
  5. Step 5: Solve for x
    x = 190,085,180,440.40/501,191.84
  6. Step 6: Final answer
    x = 379,266.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.