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Finding the Fourth Proportional to 298,664.18, 412,156.38 and 164,528.18

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Solution

The fourth proportional to 298,664.18, 412,156.38 and 164,528.18 is: 227,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,664.18 : 412,156.38 = 164,528.18 : x
  2. Step 2: Convert to fraction form
    298,664.18/412,156.38 = 164,528.18/x
  3. Step 3: Cross multiply
    298,664.18x = 412,156.38 × 164,528.18
  4. Step 4: Simplify right side
    298,664.18x = 67,811,337,016.01
  5. Step 5: Solve for x
    x = 67,811,337,016.01/298,664.18
  6. Step 6: Final answer
    x = 227,048.78

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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.