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Finding the Fourth Proportional to 512,015.96, 706,584.06 and 285,671

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Solution

The fourth proportional to 512,015.96, 706,584.06 and 285,671 is: 394,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,015.96 : 706,584.06 = 285,671 : x
  2. Step 2: Convert to fraction form
    512,015.96/706,584.06 = 285,671/x
  3. Step 3: Cross multiply
    512,015.96x = 706,584.06 × 285,671
  4. Step 4: Simplify right side
    512,015.96x = 201,850,575,004.26
  5. Step 5: Solve for x
    x = 201,850,575,004.26/512,015.96
  6. Step 6: Final answer
    x = 394,227.12

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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.