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Finding the Fourth Proportional to 413,996.76, 621,236.10 and 174,093.30

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Solution

The fourth proportional to 413,996.76, 621,236.10 and 174,093.30 is: 261,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,996.76 : 621,236.10 = 174,093.30 : x
  2. Step 2: Convert to fraction form
    413,996.76/621,236.10 = 174,093.30/x
  3. Step 3: Cross multiply
    413,996.76x = 621,236.10 × 174,093.30
  4. Step 4: Simplify right side
    413,996.76x = 108,153,042,728.13
  5. Step 5: Solve for x
    x = 108,153,042,728.13/413,996.76
  6. Step 6: Final answer
    x = 261,241.28

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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.