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Finding the Fourth Proportional to 300,467.07, 414,644.27 and 164,501.28

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Solution

The fourth proportional to 300,467.07, 414,644.27 and 164,501.28 is: 227,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,467.07 : 414,644.27 = 164,501.28 : x
  2. Step 2: Convert to fraction form
    300,467.07/414,644.27 = 164,501.28/x
  3. Step 3: Cross multiply
    300,467.07x = 414,644.27 × 164,501.28
  4. Step 4: Simplify right side
    300,467.07x = 68,209,512,337.16
  5. Step 5: Solve for x
    x = 68,209,512,337.16/300,467.07
  6. Step 6: Final answer
    x = 227,011.61

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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.