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Finding the Fourth Proportional to 300,328.32, 414,456 and 166,192

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Solution

The fourth proportional to 300,328.32, 414,456 and 166,192 is: 229,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,328.32 : 414,456 = 166,192 : x
  2. Step 2: Convert to fraction form
    300,328.32/414,456 = 166,192/x
  3. Step 3: Cross multiply
    300,328.32x = 414,456 × 166,192
  4. Step 4: Simplify right side
    300,328.32x = 68,879,271,552
  5. Step 5: Solve for x
    x = 68,879,271,552/300,328.32
  6. Step 6: Final answer
    x = 229,346.57

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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.