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Finding the Fourth Proportional to 298,105.89, 411,250.43 and 177,178.46

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Solution

The fourth proportional to 298,105.89, 411,250.43 and 177,178.46 is: 244,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,105.89 : 411,250.43 = 177,178.46 : x
  2. Step 2: Convert to fraction form
    298,105.89/411,250.43 = 177,178.46/x
  3. Step 3: Cross multiply
    298,105.89x = 411,250.43 × 177,178.46
  4. Step 4: Simplify right side
    298,105.89x = 72,864,716,461.78
  5. Step 5: Solve for x
    x = 72,864,716,461.78/298,105.89
  6. Step 6: Final answer
    x = 244,425.62

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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.