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Finding the Fourth Proportional to 300,418.16, 414,577.58 and 164,452.19

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Solution

The fourth proportional to 300,418.16, 414,577.58 and 164,452.19 is: 226,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,418.16 : 414,577.58 = 164,452.19 : x
  2. Step 2: Convert to fraction form
    300,418.16/414,577.58 = 164,452.19/x
  3. Step 3: Cross multiply
    300,418.16x = 414,577.58 × 164,452.19
  4. Step 4: Simplify right side
    300,418.16x = 68,178,190,955.90
  5. Step 5: Solve for x
    x = 68,178,190,955.90/300,418.16
  6. Step 6: Final answer
    x = 226,944.31

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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.