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Finding the Fourth Proportional to 414,230.14, 620,594.34 and 189,778.33

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Solution

The fourth proportional to 414,230.14, 620,594.34 and 189,778.33 is: 284,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,230.14 : 620,594.34 = 189,778.33 : x
  2. Step 2: Convert to fraction form
    414,230.14/620,594.34 = 189,778.33/x
  3. Step 3: Cross multiply
    414,230.14x = 620,594.34 × 189,778.33
  4. Step 4: Simplify right side
    414,230.14x = 117,775,357,452.65
  5. Step 5: Solve for x
    x = 117,775,357,452.65/414,230.14
  6. Step 6: Final answer
    x = 284,323.49

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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.