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Finding the Fourth Proportional to 512,323.24, 706,983.30 and 285,963.56

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Solution

The fourth proportional to 512,323.24, 706,983.30 and 285,963.56 is: 394,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,323.24 : 706,983.30 = 285,963.56 : x
  2. Step 2: Convert to fraction form
    512,323.24/706,983.30 = 285,963.56/x
  3. Step 3: Cross multiply
    512,323.24x = 706,983.30 × 285,963.56
  4. Step 4: Simplify right side
    512,323.24x = 202,171,461,328.55
  5. Step 5: Solve for x
    x = 202,171,461,328.55/512,323.24
  6. Step 6: Final answer
    x = 394,617.00

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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.