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Finding the Fourth Proportional to 298,600, 412,068 and 164,464

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Solution

The fourth proportional to 298,600, 412,068 and 164,464 is: 226,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,600 : 412,068 = 164,464 : x
  2. Step 2: Convert to fraction form
    298,600/412,068 = 164,464/x
  3. Step 3: Cross multiply
    298,600x = 412,068 × 164,464
  4. Step 4: Simplify right side
    298,600x = 67,770,351,552
  5. Step 5: Solve for x
    x = 67,770,351,552/298,600
  6. Step 6: Final answer
    x = 226,960.32

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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.