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Finding the Fourth Proportional to 298,405.26, 447,622.76 and 85,204.80

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Solution

The fourth proportional to 298,405.26, 447,622.76 and 85,204.80 is: 127,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,405.26 : 447,622.76 = 85,204.80 : x
  2. Step 2: Convert to fraction form
    298,405.26/447,622.76 = 85,204.80/x
  3. Step 3: Cross multiply
    298,405.26x = 447,622.76 × 85,204.80
  4. Step 4: Simplify right side
    298,405.26x = 38,139,607,315.22
  5. Step 5: Solve for x
    x = 38,139,607,315.22/298,405.26
  6. Step 6: Final answer
    x = 127,811.44

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