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Finding the Fourth Proportional to 515,361.06, 711,283.64 and 285,992.03

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Solution

The fourth proportional to 515,361.06, 711,283.64 and 285,992.03 is: 394,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,361.06 : 711,283.64 = 285,992.03 : x
  2. Step 2: Convert to fraction form
    515,361.06/711,283.64 = 285,992.03/x
  3. Step 3: Cross multiply
    515,361.06x = 711,283.64 × 285,992.03
  4. Step 4: Simplify right side
    515,361.06x = 203,421,452,109.39
  5. Step 5: Solve for x
    x = 203,421,452,109.39/515,361.06
  6. Step 6: Final answer
    x = 394,716.38

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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.