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Finding the Fourth Proportional to 512,314.24, 706,970.88 and 285,954.56

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Solution

The fourth proportional to 512,314.24, 706,970.88 and 285,954.56 is: 394,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,314.24 : 706,970.88 = 285,954.56 : x
  2. Step 2: Convert to fraction form
    512,314.24/706,970.88 = 285,954.56/x
  3. Step 3: Cross multiply
    512,314.24x = 706,970.88 × 285,954.56
  4. Step 4: Simplify right side
    512,314.24x = 202,161,546,923.21
  5. Step 5: Solve for x
    x = 202,161,546,923.21/512,314.24
  6. Step 6: Final answer
    x = 394,604.58

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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.