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Finding the Fourth Proportional to 300,402, 414,561.24 and 166,266

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Solution

The fourth proportional to 300,402, 414,561.24 and 166,266 is: 229,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,402 : 414,561.24 = 166,266 : x
  2. Step 2: Convert to fraction form
    300,402/414,561.24 = 166,266/x
  3. Step 3: Cross multiply
    300,402x = 414,561.24 × 166,266
  4. Step 4: Simplify right side
    300,402x = 68,927,439,129.84
  5. Step 5: Solve for x
    x = 68,927,439,129.84/300,402
  6. Step 6: Final answer
    x = 229,450.67

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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.