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Finding the Fourth Proportional to 300,533.50, 414,749.19 and 166,397.50

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Solution

The fourth proportional to 300,533.50, 414,749.19 and 166,397.50 is: 229,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,533.50 : 414,749.19 = 166,397.50 : x
  2. Step 2: Convert to fraction form
    300,533.50/414,749.19 = 166,397.50/x
  3. Step 3: Cross multiply
    300,533.50x = 414,749.19 × 166,397.50
  4. Step 4: Simplify right side
    300,533.50x = 69,013,228,343.03
  5. Step 5: Solve for x
    x = 69,013,228,343.03/300,533.50
  6. Step 6: Final answer
    x = 229,635.73

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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.