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Finding the Fourth Proportional to 300,693.46, 451,092.30 and 101,033.32

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Solution

The fourth proportional to 300,693.46, 451,092.30 and 101,033.32 is: 151,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,693.46 : 451,092.30 = 101,033.32 : x
  2. Step 2: Convert to fraction form
    300,693.46/451,092.30 = 101,033.32/x
  3. Step 3: Cross multiply
    300,693.46x = 451,092.30 × 101,033.32
  4. Step 4: Simplify right side
    300,693.46x = 45,575,352,695.44
  5. Step 5: Solve for x
    x = 45,575,352,695.44/300,693.46
  6. Step 6: Final answer
    x = 151,567.49

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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.