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Finding the Fourth Proportional to 398,493.72, 597,792.36 and 161,844.12

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Solution

The fourth proportional to 398,493.72, 597,792.36 and 161,844.12 is: 242,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,493.72 : 597,792.36 = 161,844.12 : x
  2. Step 2: Convert to fraction form
    398,493.72/597,792.36 = 161,844.12/x
  3. Step 3: Cross multiply
    398,493.72x = 597,792.36 × 161,844.12
  4. Step 4: Simplify right side
    398,493.72x = 96,749,178,446.92
  5. Step 5: Solve for x
    x = 96,749,178,446.92/398,493.72
  6. Step 6: Final answer
    x = 242,787.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.