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Finding the Fourth Proportional to 298,622.10, 412,098.42 and 164,486.10

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Solution

The fourth proportional to 298,622.10, 412,098.42 and 164,486.10 is: 226,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,622.10 : 412,098.42 = 164,486.10 : x
  2. Step 2: Convert to fraction form
    298,622.10/412,098.42 = 164,486.10/x
  3. Step 3: Cross multiply
    298,622.10x = 412,098.42 × 164,486.10
  4. Step 4: Simplify right side
    298,622.10x = 67,784,461,921.96
  5. Step 5: Solve for x
    x = 67,784,461,921.96/298,622.10
  6. Step 6: Final answer
    x = 226,990.78

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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.