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Finding the Fourth Proportional to 300,570, 414,786.72 and 166,434

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Solution

The fourth proportional to 300,570, 414,786.72 and 166,434 is: 229,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,570 : 414,786.72 = 166,434 : x
  2. Step 2: Convert to fraction form
    300,570/414,786.72 = 166,434/x
  3. Step 3: Cross multiply
    300,570x = 414,786.72 × 166,434
  4. Step 4: Simplify right side
    300,570x = 69,034,612,956.48
  5. Step 5: Solve for x
    x = 69,034,612,956.48/300,570
  6. Step 6: Final answer
    x = 229,678.99

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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.