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Finding the Fourth Proportional to 299,390.40, 449,085.60 and 281,675.70

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Solution

The fourth proportional to 299,390.40, 449,085.60 and 281,675.70 is: 422,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,390.40 : 449,085.60 = 281,675.70 : x
  2. Step 2: Convert to fraction form
    299,390.40/449,085.60 = 281,675.70/x
  3. Step 3: Cross multiply
    299,390.40x = 449,085.60 × 281,675.70
  4. Step 4: Simplify right side
    299,390.40x = 126,496,500,739.92
  5. Step 5: Solve for x
    x = 126,496,500,739.92/299,390.40
  6. Step 6: Final answer
    x = 422,513.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.