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Finding the Fourth Proportional to 298,644, 412,128.72 and 164,508

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Solution

The fourth proportional to 298,644, 412,128.72 and 164,508 is: 227,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,644 : 412,128.72 = 164,508 : x
  2. Step 2: Convert to fraction form
    298,644/412,128.72 = 164,508/x
  3. Step 3: Cross multiply
    298,644x = 412,128.72 × 164,508
  4. Step 4: Simplify right side
    298,644x = 67,798,471,469.76
  5. Step 5: Solve for x
    x = 67,798,471,469.76/298,644
  6. Step 6: Final answer
    x = 227,021.04

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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.