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Finding the Fourth Proportional to 301,937.96, 416,590.49 and 199,930.82

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Solution

The fourth proportional to 301,937.96, 416,590.49 and 199,930.82 is: 275,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,937.96 : 416,590.49 = 199,930.82 : x
  2. Step 2: Convert to fraction form
    301,937.96/416,590.49 = 199,930.82/x
  3. Step 3: Cross multiply
    301,937.96x = 416,590.49 × 199,930.82
  4. Step 4: Simplify right side
    301,937.96x = 83,289,275,187.30
  5. Step 5: Solve for x
    x = 83,289,275,187.30/301,937.96
  6. Step 6: Final answer
    x = 275,848.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.