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Finding the Fourth Proportional to 300,466.50, 414,643.78 and 166,330.50

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Solution

The fourth proportional to 300,466.50, 414,643.78 and 166,330.50 is: 229,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,466.50 : 414,643.78 = 166,330.50 : x
  2. Step 2: Convert to fraction form
    300,466.50/414,643.78 = 166,330.50/x
  3. Step 3: Cross multiply
    300,466.50x = 414,643.78 × 166,330.50
  4. Step 4: Simplify right side
    300,466.50x = 68,967,907,249.29
  5. Step 5: Solve for x
    x = 68,967,907,249.29/300,466.50
  6. Step 6: Final answer
    x = 229,536.10

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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.