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Finding the Fourth Proportional to 512,290.50, 706,968.18 and 285,936

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Solution

The fourth proportional to 512,290.50, 706,968.18 and 285,936 is: 394,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,290.50 : 706,968.18 = 285,936 : x
  2. Step 2: Convert to fraction form
    512,290.50/706,968.18 = 285,936/x
  3. Step 3: Cross multiply
    512,290.50x = 706,968.18 × 285,936
  4. Step 4: Simplify right side
    512,290.50x = 202,147,653,516.48
  5. Step 5: Solve for x
    x = 202,147,653,516.48/512,290.50
  6. Step 6: Final answer
    x = 394,595.75

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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.