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Finding the Fourth Proportional to 300,603, 414,845.18 and 166,467

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Solution

The fourth proportional to 300,603, 414,845.18 and 166,467 is: 229,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,603 : 414,845.18 = 166,467 : x
  2. Step 2: Convert to fraction form
    300,603/414,845.18 = 166,467/x
  3. Step 3: Cross multiply
    300,603x = 414,845.18 × 166,467
  4. Step 4: Simplify right side
    300,603x = 69,058,032,579.06
  5. Step 5: Solve for x
    x = 69,058,032,579.06/300,603
  6. Step 6: Final answer
    x = 229,731.68

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1.5x scale

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.