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Finding the Fourth Proportional to 300,509.54, 414,690.30 and 164,541.02

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Solution

The fourth proportional to 300,509.54, 414,690.30 and 164,541.02 is: 227,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,509.54 : 414,690.30 = 164,541.02 : x
  2. Step 2: Convert to fraction form
    300,509.54/414,690.30 = 164,541.02/x
  3. Step 3: Cross multiply
    300,509.54x = 414,690.30 × 164,541.02
  4. Step 4: Simplify right side
    300,509.54x = 68,233,562,872.65
  5. Step 5: Solve for x
    x = 68,233,562,872.65/300,509.54
  6. Step 6: Final answer
    x = 227,059.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.