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Finding the Fourth Proportional to 298,986.24, 412,610.88 and 178,111

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Solution

The fourth proportional to 298,986.24, 412,610.88 and 178,111 is: 245,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,986.24 : 412,610.88 = 178,111 : x
  2. Step 2: Convert to fraction form
    298,986.24/412,610.88 = 178,111/x
  3. Step 3: Cross multiply
    298,986.24x = 412,610.88 × 178,111
  4. Step 4: Simplify right side
    298,986.24x = 73,490,536,447.68
  5. Step 5: Solve for x
    x = 73,490,536,447.68/298,986.24
  6. Step 6: Final answer
    x = 245,799.06

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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.