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Finding the Fourth Proportional to 298,989.24, 412,608.36 and 163,022.04

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Solution

The fourth proportional to 298,989.24, 412,608.36 and 163,022.04 is: 224,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,989.24 : 412,608.36 = 163,022.04 : x
  2. Step 2: Convert to fraction form
    298,989.24/412,608.36 = 163,022.04/x
  3. Step 3: Cross multiply
    298,989.24x = 412,608.36 × 163,022.04
  4. Step 4: Simplify right side
    298,989.24x = 67,264,256,568.25
  5. Step 5: Solve for x
    x = 67,264,256,568.25/298,989.24
  6. Step 6: Final answer
    x = 224,972.16

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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.