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Finding the Fourth Proportional to 297,834.25, 446,806.73 and 98,168.67

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Solution

The fourth proportional to 297,834.25, 446,806.73 and 98,168.67 is: 147,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834.25 : 446,806.73 = 98,168.67 : x
  2. Step 2: Convert to fraction form
    297,834.25/446,806.73 = 98,168.67/x
  3. Step 3: Cross multiply
    297,834.25x = 446,806.73 × 98,168.67
  4. Step 4: Simplify right side
    297,834.25x = 43,862,422,431.15
  5. Step 5: Solve for x
    x = 43,862,422,431.15/297,834.25
  6. Step 6: Final answer
    x = 147,271.25

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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.