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Finding the Fourth Proportional to 300,590.26, 414,814.44 and 166,454.26

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Solution

The fourth proportional to 300,590.26, 414,814.44 and 166,454.26 is: 229,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,590.26 : 414,814.44 = 166,454.26 : x
  2. Step 2: Convert to fraction form
    300,590.26/414,814.44 = 166,454.26/x
  3. Step 3: Cross multiply
    300,590.26x = 414,814.44 × 166,454.26
  4. Step 4: Simplify right side
    300,590.26x = 69,047,630,647.51
  5. Step 5: Solve for x
    x = 69,047,630,647.51/300,590.26
  6. Step 6: Final answer
    x = 229,706.81

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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.