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Finding the Fourth Proportional to 490,984.10, 735,104.82 and 265,536.80

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Solution

The fourth proportional to 490,984.10, 735,104.82 and 265,536.80 is: 397,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,984.10 : 735,104.82 = 265,536.80 : x
  2. Step 2: Convert to fraction form
    490,984.10/735,104.82 = 265,536.80/x
  3. Step 3: Cross multiply
    490,984.10x = 735,104.82 × 265,536.80
  4. Step 4: Simplify right side
    490,984.10x = 195,197,380,150.61
  5. Step 5: Solve for x
    x = 195,197,380,150.61/490,984.10
  6. Step 6: Final answer
    x = 397,563.55

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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.