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Finding the Fourth Proportional to 408,434.94, 563,556.96 and 238,636.26

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Solution

The fourth proportional to 408,434.94, 563,556.96 and 238,636.26 is: 329,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,434.94 : 563,556.96 = 238,636.26 : x
  2. Step 2: Convert to fraction form
    408,434.94/563,556.96 = 238,636.26/x
  3. Step 3: Cross multiply
    408,434.94x = 563,556.96 × 238,636.26
  4. Step 4: Simplify right side
    408,434.94x = 134,485,125,231.37
  5. Step 5: Solve for x
    x = 134,485,125,231.37/408,434.94
  6. Step 6: Final answer
    x = 329,269.39

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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.