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Finding the Fourth Proportional to 412,673.54, 569,608.50 and 267,474.38

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Solution

The fourth proportional to 412,673.54, 569,608.50 and 267,474.38 is: 369,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,673.54 : 569,608.50 = 267,474.38 : x
  2. Step 2: Convert to fraction form
    412,673.54/569,608.50 = 267,474.38/x
  3. Step 3: Cross multiply
    412,673.54x = 569,608.50 × 267,474.38
  4. Step 4: Simplify right side
    412,673.54x = 152,355,680,380.23
  5. Step 5: Solve for x
    x = 152,355,680,380.23/412,673.54
  6. Step 6: Final answer
    x = 369,191.78

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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.