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Finding the Fourth Proportional to 408,213.09, 563,295.94 and 236,103.48

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Solution

The fourth proportional to 408,213.09, 563,295.94 and 236,103.48 is: 325,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,213.09 : 563,295.94 = 236,103.48 : x
  2. Step 2: Convert to fraction form
    408,213.09/563,295.94 = 236,103.48/x
  3. Step 3: Cross multiply
    408,213.09x = 563,295.94 × 236,103.48
  4. Step 4: Simplify right side
    408,213.09x = 132,996,131,113.61
  5. Step 5: Solve for x
    x = 132,996,131,113.61/408,213.09
  6. Step 6: Final answer
    x = 325,800.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.