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Finding the Fourth Proportional to 300,418.86, 414,549.66 and 179,536.08

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Solution

The fourth proportional to 300,418.86, 414,549.66 and 179,536.08 is: 247,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,418.86 : 414,549.66 = 179,536.08 : x
  2. Step 2: Convert to fraction form
    300,418.86/414,549.66 = 179,536.08/x
  3. Step 3: Cross multiply
    300,418.86x = 414,549.66 × 179,536.08
  4. Step 4: Simplify right side
    300,418.86x = 74,426,620,921.73
  5. Step 5: Solve for x
    x = 74,426,620,921.73/300,418.86
  6. Step 6: Final answer
    x = 247,742.84

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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.