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Finding the Fourth Proportional to 298,435.02, 411,840.27 and 164,299.02

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Solution

The fourth proportional to 298,435.02, 411,840.27 and 164,299.02 is: 226,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,435.02 : 411,840.27 = 164,299.02 : x
  2. Step 2: Convert to fraction form
    298,435.02/411,840.27 = 164,299.02/x
  3. Step 3: Cross multiply
    298,435.02x = 411,840.27 × 164,299.02
  4. Step 4: Simplify right side
    298,435.02x = 67,664,952,757.54
  5. Step 5: Solve for x
    x = 67,664,952,757.54/298,435.02
  6. Step 6: Final answer
    x = 226,732.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.