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Finding the Fourth Proportional to 298,096.77, 411,375.47 and 162,131.70

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Solution

The fourth proportional to 298,096.77, 411,375.47 and 162,131.70 is: 223,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,096.77 : 411,375.47 = 162,131.70 : x
  2. Step 2: Convert to fraction form
    298,096.77/411,375.47 = 162,131.70/x
  3. Step 3: Cross multiply
    298,096.77x = 411,375.47 × 162,131.70
  4. Step 4: Simplify right side
    298,096.77x = 66,697,004,289.40
  5. Step 5: Solve for x
    x = 66,697,004,289.40/298,096.77
  6. Step 6: Final answer
    x = 223,742.79

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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.