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Finding the Fourth Proportional to 320,190.30, 441,863.98 and 174,999.02

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Solution

The fourth proportional to 320,190.30, 441,863.98 and 174,999.02 is: 241,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,190.30 : 441,863.98 = 174,999.02 : x
  2. Step 2: Convert to fraction form
    320,190.30/441,863.98 = 174,999.02/x
  3. Step 3: Cross multiply
    320,190.30x = 441,863.98 × 174,999.02
  4. Step 4: Simplify right side
    320,190.30x = 77,325,760,826.48
  5. Step 5: Solve for x
    x = 77,325,760,826.48/320,190.30
  6. Step 6: Final answer
    x = 241,499.39

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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.