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Finding the Fourth Proportional to 327,676.17, 491,349.86 and 190,943.57

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Solution

The fourth proportional to 327,676.17, 491,349.86 and 190,943.57 is: 286,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,676.17 : 491,349.86 = 190,943.57 : x
  2. Step 2: Convert to fraction form
    327,676.17/491,349.86 = 190,943.57/x
  3. Step 3: Cross multiply
    327,676.17x = 491,349.86 × 190,943.57
  4. Step 4: Simplify right side
    327,676.17x = 93,820,096,661.06
  5. Step 5: Solve for x
    x = 93,820,096,661.06/327,676.17
  6. Step 6: Final answer
    x = 286,319.56

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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.