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Finding the Fourth Proportional to 264,790.40, 397,195.20 and 77,820.80

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Solution

The fourth proportional to 264,790.40, 397,195.20 and 77,820.80 is: 116,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,790.40 : 397,195.20 = 77,820.80 : x
  2. Step 2: Convert to fraction form
    264,790.40/397,195.20 = 77,820.80/x
  3. Step 3: Cross multiply
    264,790.40x = 397,195.20 × 77,820.80
  4. Step 4: Simplify right side
    264,790.40x = 30,910,048,220.16
  5. Step 5: Solve for x
    x = 30,910,048,220.16/264,790.40
  6. Step 6: Final answer
    x = 116,734.02

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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.