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Finding the Fourth Proportional to 344,634.24, 475,637.76 and 193,728

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Solution

The fourth proportional to 344,634.24, 475,637.76 and 193,728 is: 267,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,634.24 : 475,637.76 = 193,728 : x
  2. Step 2: Convert to fraction form
    344,634.24/475,637.76 = 193,728/x
  3. Step 3: Cross multiply
    344,634.24x = 475,637.76 × 193,728
  4. Step 4: Simplify right side
    344,634.24x = 92,144,351,969.28
  5. Step 5: Solve for x
    x = 92,144,351,969.28/344,634.24
  6. Step 6: Final answer
    x = 267,368.54

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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.