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Finding the Fourth Proportional to 298,674.70, 412,171.08 and 164,538.70

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Solution

The fourth proportional to 298,674.70, 412,171.08 and 164,538.70 is: 227,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,674.70 : 412,171.08 = 164,538.70 : x
  2. Step 2: Convert to fraction form
    298,674.70/412,171.08 = 164,538.70/x
  3. Step 3: Cross multiply
    298,674.70x = 412,171.08 × 164,538.70
  4. Step 4: Simplify right side
    298,674.70x = 67,818,093,680.80
  5. Step 5: Solve for x
    x = 67,818,093,680.80/298,674.70
  6. Step 6: Final answer
    x = 227,063.40

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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.