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Finding the Fourth Proportional to 300,525.07, 414,733.99 and 164,571.93

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Solution

The fourth proportional to 300,525.07, 414,733.99 and 164,571.93 is: 227,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,525.07 : 414,733.99 = 164,571.93 : x
  2. Step 2: Convert to fraction form
    300,525.07/414,733.99 = 164,571.93/x
  3. Step 3: Cross multiply
    300,525.07x = 414,733.99 × 164,571.93
  4. Step 4: Simplify right side
    300,525.07x = 68,253,573,170.90
  5. Step 5: Solve for x
    x = 68,253,573,170.90/300,525.07
  6. Step 6: Final answer
    x = 227,114.41

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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.