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Finding the Fourth Proportional to 399,821.60, 599,513.70 and 162,896.60

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Solution

The fourth proportional to 399,821.60, 599,513.70 and 162,896.60 is: 244,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,821.60 : 599,513.70 = 162,896.60 : x
  2. Step 2: Convert to fraction form
    399,821.60/599,513.70 = 162,896.60/x
  3. Step 3: Cross multiply
    399,821.60x = 599,513.70 × 162,896.60
  4. Step 4: Simplify right side
    399,821.60x = 97,658,743,383.42
  5. Step 5: Solve for x
    x = 97,658,743,383.42/399,821.60
  6. Step 6: Final answer
    x = 244,255.80

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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.