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Finding the Fourth Proportional to 298,601, 412,069.39 and 164,465

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Solution

The fourth proportional to 298,601, 412,069.39 and 164,465 is: 226,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601 : 412,069.39 = 164,465 : x
  2. Step 2: Convert to fraction form
    298,601/412,069.39 = 164,465/x
  3. Step 3: Cross multiply
    298,601x = 412,069.39 × 164,465
  4. Step 4: Simplify right side
    298,601x = 67,770,991,404.03
  5. Step 5: Solve for x
    x = 67,770,991,404.03/298,601
  6. Step 6: Final answer
    x = 226,961.70

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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.