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Finding the Fourth Proportional to 320,224.34, 441,883 and 176,984.35

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Solution

The fourth proportional to 320,224.34, 441,883 and 176,984.35 is: 244,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,224.34 : 441,883 = 176,984.35 : x
  2. Step 2: Convert to fraction form
    320,224.34/441,883 = 176,984.35/x
  3. Step 3: Cross multiply
    320,224.34x = 441,883 × 176,984.35
  4. Step 4: Simplify right side
    320,224.34x = 78,206,375,531.05
  5. Step 5: Solve for x
    x = 78,206,375,531.05/320,224.34
  6. Step 6: Final answer
    x = 244,223.71

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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.