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Finding the Fourth Proportional to 298,623, 412,099.74 and 164,487

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Solution

The fourth proportional to 298,623, 412,099.74 and 164,487 is: 226,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,623 : 412,099.74 = 164,487 : x
  2. Step 2: Convert to fraction form
    298,623/412,099.74 = 164,487/x
  3. Step 3: Cross multiply
    298,623x = 412,099.74 × 164,487
  4. Step 4: Simplify right side
    298,623x = 67,785,049,933.38
  5. Step 5: Solve for x
    x = 67,785,049,933.38/298,623
  6. Step 6: Final answer
    x = 226,992.06

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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.