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Finding the Fourth Proportional to 414,955.40, 622,364.46 and 148,676.36

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Solution

The fourth proportional to 414,955.40, 622,364.46 and 148,676.36 is: 222,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,955.40 : 622,364.46 = 148,676.36 : x
  2. Step 2: Convert to fraction form
    414,955.40/622,364.46 = 148,676.36/x
  3. Step 3: Cross multiply
    414,955.40x = 622,364.46 × 148,676.36
  4. Step 4: Simplify right side
    414,955.40x = 92,530,882,506.17
  5. Step 5: Solve for x
    x = 92,530,882,506.17/414,955.40
  6. Step 6: Final answer
    x = 222,989.95

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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.