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Finding the Fourth Proportional to 300,535, 414,751.26 and 166,399

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Solution

The fourth proportional to 300,535, 414,751.26 and 166,399 is: 229,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,535 : 414,751.26 = 166,399 : x
  2. Step 2: Convert to fraction form
    300,535/414,751.26 = 166,399/x
  3. Step 3: Cross multiply
    300,535x = 414,751.26 × 166,399
  4. Step 4: Simplify right side
    300,535x = 69,014,194,912.74
  5. Step 5: Solve for x
    x = 69,014,194,912.74/300,535
  6. Step 6: Final answer
    x = 229,637.80

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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.