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Finding the Fourth Proportional to 300,457.20, 414,630.93 and 166,321.20

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Solution

The fourth proportional to 300,457.20, 414,630.93 and 166,321.20 is: 229,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,457.20 : 414,630.93 = 166,321.20 : x
  2. Step 2: Convert to fraction form
    300,457.20/414,630.93 = 166,321.20/x
  3. Step 3: Cross multiply
    300,457.20x = 414,630.93 × 166,321.20
  4. Step 4: Simplify right side
    300,457.20x = 68,961,913,834.72
  5. Step 5: Solve for x
    x = 68,961,913,834.72/300,457.20
  6. Step 6: Final answer
    x = 229,523.25

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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.