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Finding the Fourth Proportional to 512,280.36, 706,918.14 and 285,940.44

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Solution

The fourth proportional to 512,280.36, 706,918.14 and 285,940.44 is: 394,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,280.36 : 706,918.14 = 285,940.44 : x
  2. Step 2: Convert to fraction form
    512,280.36/706,918.14 = 285,940.44/x
  3. Step 3: Cross multiply
    512,280.36x = 706,918.14 × 285,940.44
  4. Step 4: Simplify right side
    512,280.36x = 202,136,483,995.58
  5. Step 5: Solve for x
    x = 202,136,483,995.58/512,280.36
  6. Step 6: Final answer
    x = 394,581.76

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1.5x scale

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.