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Finding the Fourth Proportional to 298,880.67, 412,449.93 and 171,546.24

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Solution

The fourth proportional to 298,880.67, 412,449.93 and 171,546.24 is: 236,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,880.67 : 412,449.93 = 171,546.24 : x
  2. Step 2: Convert to fraction form
    298,880.67/412,449.93 = 171,546.24/x
  3. Step 3: Cross multiply
    298,880.67x = 412,449.93 × 171,546.24
  4. Step 4: Simplify right side
    298,880.67x = 70,754,234,679.76
  5. Step 5: Solve for x
    x = 70,754,234,679.76/298,880.67
  6. Step 6: Final answer
    x = 236,730.71

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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.