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Finding the Fourth Proportional to 300,469.86, 414,653.32 and 164,501.54

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Solution

The fourth proportional to 300,469.86, 414,653.32 and 164,501.54 is: 227,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,469.86 : 414,653.32 = 164,501.54 : x
  2. Step 2: Convert to fraction form
    300,469.86/414,653.32 = 164,501.54/x
  3. Step 3: Cross multiply
    300,469.86x = 414,653.32 × 164,501.54
  4. Step 4: Simplify right side
    300,469.86x = 68,211,109,706.11
  5. Step 5: Solve for x
    x = 68,211,109,706.11/300,469.86
  6. Step 6: Final answer
    x = 227,014.82

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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.