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Finding the Fourth Proportional to 300,604, 414,846.56 and 166,468

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Solution

The fourth proportional to 300,604, 414,846.56 and 166,468 is: 229,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,604 : 414,846.56 = 166,468 : x
  2. Step 2: Convert to fraction form
    300,604/414,846.56 = 166,468/x
  3. Step 3: Cross multiply
    300,604x = 414,846.56 × 166,468
  4. Step 4: Simplify right side
    300,604x = 69,058,677,150.08
  5. Step 5: Solve for x
    x = 69,058,677,150.08/300,604
  6. Step 6: Final answer
    x = 229,733.06

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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.