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Finding the Fourth Proportional to 298,197.29, 411,481.53 and 177,315.22

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Solution

The fourth proportional to 298,197.29, 411,481.53 and 177,315.22 is: 244,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,197.29 : 411,481.53 = 177,315.22 : x
  2. Step 2: Convert to fraction form
    298,197.29/411,481.53 = 177,315.22/x
  3. Step 3: Cross multiply
    298,197.29x = 411,481.53 × 177,315.22
  4. Step 4: Simplify right side
    298,197.29x = 72,961,935,960.48
  5. Step 5: Solve for x
    x = 72,961,935,960.48/298,197.29
  6. Step 6: Final answer
    x = 244,676.73

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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.