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Finding the Fourth Proportional to 414,441.24, 621,661.87 and 148,185.61

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Solution

The fourth proportional to 414,441.24, 621,661.87 and 148,185.61 is: 222,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,441.24 : 621,661.87 = 148,185.61 : x
  2. Step 2: Convert to fraction form
    414,441.24/621,661.87 = 148,185.61/x
  3. Step 3: Cross multiply
    414,441.24x = 621,661.87 × 148,185.61
  4. Step 4: Simplify right side
    414,441.24x = 92,121,344,714.07
  5. Step 5: Solve for x
    x = 92,121,344,714.07/414,441.24
  6. Step 6: Final answer
    x = 222,278.42

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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.