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Finding the Fourth Proportional to 512,188.53, 706,887.05 and 285,881.01

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Solution

The fourth proportional to 512,188.53, 706,887.05 and 285,881.01 is: 394,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,188.53 : 706,887.05 = 285,881.01 : x
  2. Step 2: Convert to fraction form
    512,188.53/706,887.05 = 285,881.01/x
  3. Step 3: Cross multiply
    512,188.53x = 706,887.05 × 285,881.01
  4. Step 4: Simplify right side
    512,188.53x = 202,085,582,380.52
  5. Step 5: Solve for x
    x = 202,085,582,380.52/512,188.53
  6. Step 6: Final answer
    x = 394,553.12

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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.