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Finding the Fourth Proportional to 300,319.68, 414,297.57 and 185,556.85

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Solution

The fourth proportional to 300,319.68, 414,297.57 and 185,556.85 is: 255,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,319.68 : 414,297.57 = 185,556.85 : x
  2. Step 2: Convert to fraction form
    300,319.68/414,297.57 = 185,556.85/x
  3. Step 3: Cross multiply
    300,319.68x = 414,297.57 × 185,556.85
  4. Step 4: Simplify right side
    300,319.68x = 76,875,752,051.85
  5. Step 5: Solve for x
    x = 76,875,752,051.85/300,319.68
  6. Step 6: Final answer
    x = 255,979.73

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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.