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Finding the Fourth Proportional to 298,644.36, 412,129.26 and 164,508.36

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Solution

The fourth proportional to 298,644.36, 412,129.26 and 164,508.36 is: 227,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,644.36 : 412,129.26 = 164,508.36 : x
  2. Step 2: Convert to fraction form
    298,644.36/412,129.26 = 164,508.36/x
  3. Step 3: Cross multiply
    298,644.36x = 412,129.26 × 164,508.36
  4. Step 4: Simplify right side
    298,644.36x = 67,798,708,670.61
  5. Step 5: Solve for x
    x = 67,798,708,670.61/298,644.36
  6. Step 6: Final answer
    x = 227,021.56

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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.