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Finding the Fourth Proportional to 298,537.60, 447,806.40 and 204,059.20

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Solution

The fourth proportional to 298,537.60, 447,806.40 and 204,059.20 is: 306,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,537.60 : 447,806.40 = 204,059.20 : x
  2. Step 2: Convert to fraction form
    298,537.60/447,806.40 = 204,059.20/x
  3. Step 3: Cross multiply
    298,537.60x = 447,806.40 × 204,059.20
  4. Step 4: Simplify right side
    298,537.60x = 91,379,015,738.88
  5. Step 5: Solve for x
    x = 91,379,015,738.88/298,537.60
  6. Step 6: Final answer
    x = 306,088.80

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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.