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Finding the Fourth Proportional to 300,943.64, 451,474.46 and 111,405.47

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Solution

The fourth proportional to 300,943.64, 451,474.46 and 111,405.47 is: 167,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,943.64 : 451,474.46 = 111,405.47 : x
  2. Step 2: Convert to fraction form
    300,943.64/451,474.46 = 111,405.47/x
  3. Step 3: Cross multiply
    300,943.64x = 451,474.46 × 111,405.47
  4. Step 4: Simplify right side
    300,943.64x = 50,296,721,594.90
  5. Step 5: Solve for x
    x = 50,296,721,594.90/300,943.64
  6. Step 6: Final answer
    x = 167,130.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.