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Finding the Fourth Proportional to 298,084.60, 447,564.30 and 179,986.60

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Solution

The fourth proportional to 298,084.60, 447,564.30 and 179,986.60 is: 270,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,084.60 : 447,564.30 = 179,986.60 : x
  2. Step 2: Convert to fraction form
    298,084.60/447,564.30 = 179,986.60/x
  3. Step 3: Cross multiply
    298,084.60x = 447,564.30 × 179,986.60
  4. Step 4: Simplify right side
    298,084.60x = 80,555,576,638.38
  5. Step 5: Solve for x
    x = 80,555,576,638.38/298,084.60
  6. Step 6: Final answer
    x = 270,244.01

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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.