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Finding the Fourth Proportional to 320,085.08, 441,712.22 and 174,887.76

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Solution

The fourth proportional to 320,085.08, 441,712.22 and 174,887.76 is: 241,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,085.08 : 441,712.22 = 174,887.76 : x
  2. Step 2: Convert to fraction form
    320,085.08/441,712.22 = 174,887.76/x
  3. Step 3: Cross multiply
    320,085.08x = 441,712.22 × 174,887.76
  4. Step 4: Simplify right side
    320,085.08x = 77,250,060,720.43
  5. Step 5: Solve for x
    x = 77,250,060,720.43/320,085.08
  6. Step 6: Final answer
    x = 241,342.27

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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.