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Finding the Fourth Proportional to 300,517.58, 414,706.47 and 164,549.97

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Solution

The fourth proportional to 300,517.58, 414,706.47 and 164,549.97 is: 227,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,517.58 : 414,706.47 = 164,549.97 : x
  2. Step 2: Convert to fraction form
    300,517.58/414,706.47 = 164,549.97/x
  3. Step 3: Cross multiply
    300,517.58x = 414,706.47 × 164,549.97
  4. Step 4: Simplify right side
    300,517.58x = 68,239,937,197.31
  5. Step 5: Solve for x
    x = 68,239,937,197.31/300,517.58
  6. Step 6: Final answer
    x = 227,074.69

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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.