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Finding the Fourth Proportional to 412,004.52, 617,851.26 and 190,233

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Solution

The fourth proportional to 412,004.52, 617,851.26 and 190,233 is: 285,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,004.52 : 617,851.26 = 190,233 : x
  2. Step 2: Convert to fraction form
    412,004.52/617,851.26 = 190,233/x
  3. Step 3: Cross multiply
    412,004.52x = 617,851.26 × 190,233
  4. Step 4: Simplify right side
    412,004.52x = 117,535,698,743.58
  5. Step 5: Solve for x
    x = 117,535,698,743.58/412,004.52
  6. Step 6: Final answer
    x = 285,277.69

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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.