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Finding the Fourth Proportional to 379,957.26, 524,255.16 and 226,965.49

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Solution

The fourth proportional to 379,957.26, 524,255.16 and 226,965.49 is: 313,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,957.26 : 524,255.16 = 226,965.49 : x
  2. Step 2: Convert to fraction form
    379,957.26/524,255.16 = 226,965.49/x
  3. Step 3: Cross multiply
    379,957.26x = 524,255.16 × 226,965.49
  4. Step 4: Simplify right side
    379,957.26x = 118,987,831,125.51
  5. Step 5: Solve for x
    x = 118,987,831,125.51/379,957.26
  6. Step 6: Final answer
    x = 313,161.10

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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.