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Finding the Fourth Proportional to 411,986.52, 617,824.26 and 190,215

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Solution

The fourth proportional to 411,986.52, 617,824.26 and 190,215 is: 285,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,986.52 : 617,824.26 = 190,215 : x
  2. Step 2: Convert to fraction form
    411,986.52/617,824.26 = 190,215/x
  3. Step 3: Cross multiply
    411,986.52x = 617,824.26 × 190,215
  4. Step 4: Simplify right side
    411,986.52x = 117,519,441,615.90
  5. Step 5: Solve for x
    x = 117,519,441,615.90/411,986.52
  6. Step 6: Final answer
    x = 285,250.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.