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Finding the Fourth Proportional to 305,872.80, 458,809.20 and 199,584.60

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Solution

The fourth proportional to 305,872.80, 458,809.20 and 199,584.60 is: 299,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872.80 : 458,809.20 = 199,584.60 : x
  2. Step 2: Convert to fraction form
    305,872.80/458,809.20 = 199,584.60/x
  3. Step 3: Cross multiply
    305,872.80x = 458,809.20 × 199,584.60
  4. Step 4: Simplify right side
    305,872.80x = 91,571,250,658.32
  5. Step 5: Solve for x
    x = 91,571,250,658.32/305,872.80
  6. Step 6: Final answer
    x = 299,376.90

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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.