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Finding the Fourth Proportional to 323,334, 484,172.88 and 269,893.09

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Solution

The fourth proportional to 323,334, 484,172.88 and 269,893.09 is: 404,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,334 : 484,172.88 = 269,893.09 : x
  2. Step 2: Convert to fraction form
    323,334/484,172.88 = 269,893.09/x
  3. Step 3: Cross multiply
    323,334x = 484,172.88 × 269,893.09
  4. Step 4: Simplify right side
    323,334x = 130,674,914,677.40
  5. Step 5: Solve for x
    x = 130,674,914,677.40/323,334
  6. Step 6: Final answer
    x = 404,148.39

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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.