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Finding the Fourth Proportional to 413,939.52, 620,467.20 and 236,063.52

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Solution

The fourth proportional to 413,939.52, 620,467.20 and 236,063.52 is: 353,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,939.52 : 620,467.20 = 236,063.52 : x
  2. Step 2: Convert to fraction form
    413,939.52/620,467.20 = 236,063.52/x
  3. Step 3: Cross multiply
    413,939.52x = 620,467.20 × 236,063.52
  4. Step 4: Simplify right side
    413,939.52x = 146,469,671,276.54
  5. Step 5: Solve for x
    x = 146,469,671,276.54/413,939.52
  6. Step 6: Final answer
    x = 353,843.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.