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Finding the Fourth Proportional to 311,523.22, 429,901.68 and 168,283.24

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Solution

The fourth proportional to 311,523.22, 429,901.68 and 168,283.24 is: 232,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,523.22 : 429,901.68 = 168,283.24 : x
  2. Step 2: Convert to fraction form
    311,523.22/429,901.68 = 168,283.24/x
  3. Step 3: Cross multiply
    311,523.22x = 429,901.68 × 168,283.24
  4. Step 4: Simplify right side
    311,523.22x = 72,345,247,591.84
  5. Step 5: Solve for x
    x = 72,345,247,591.84/311,523.22
  6. Step 6: Final answer
    x = 232,230.67

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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.