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Finding the Fourth Proportional to 485,150.40, 728,157.60 and 285,220.80

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Solution

The fourth proportional to 485,150.40, 728,157.60 and 285,220.80 is: 428,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,150.40 : 728,157.60 = 285,220.80 : x
  2. Step 2: Convert to fraction form
    485,150.40/728,157.60 = 285,220.80/x
  3. Step 3: Cross multiply
    485,150.40x = 728,157.60 × 285,220.80
  4. Step 4: Simplify right side
    485,150.40x = 207,685,693,198.08
  5. Step 5: Solve for x
    x = 207,685,693,198.08/485,150.40
  6. Step 6: Final answer
    x = 428,085.17

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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.