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Finding the Fourth Proportional to 511,996.36, 706,571.94 and 279,436

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Solution

The fourth proportional to 511,996.36, 706,571.94 and 279,436 is: 385,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,996.36 : 706,571.94 = 279,436 : x
  2. Step 2: Convert to fraction form
    511,996.36/706,571.94 = 279,436/x
  3. Step 3: Cross multiply
    511,996.36x = 706,571.94 × 279,436
  4. Step 4: Simplify right side
    511,996.36x = 197,441,636,625.84
  5. Step 5: Solve for x
    x = 197,441,636,625.84/511,996.36
  6. Step 6: Final answer
    x = 385,630.94

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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.