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Finding the Fourth Proportional to 300,213.36, 414,345.24 and 172,865.52

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Solution

The fourth proportional to 300,213.36, 414,345.24 and 172,865.52 is: 238,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,213.36 : 414,345.24 = 172,865.52 : x
  2. Step 2: Convert to fraction form
    300,213.36/414,345.24 = 172,865.52/x
  3. Step 3: Cross multiply
    300,213.36x = 414,345.24 × 172,865.52
  4. Step 4: Simplify right side
    300,213.36x = 71,626,005,372.12
  5. Step 5: Solve for x
    x = 71,626,005,372.12/300,213.36
  6. Step 6: Final answer
    x = 238,583.67

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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.