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Finding the Fourth Proportional to 399,942.96, 599,915.04 and 160,164.88

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Solution

The fourth proportional to 399,942.96, 599,915.04 and 160,164.88 is: 240,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,942.96 : 599,915.04 = 160,164.88 : x
  2. Step 2: Convert to fraction form
    399,942.96/599,915.04 = 160,164.88/x
  3. Step 3: Cross multiply
    399,942.96x = 599,915.04 × 160,164.88
  4. Step 4: Simplify right side
    399,942.96x = 96,085,320,391.80
  5. Step 5: Solve for x
    x = 96,085,320,391.80/399,942.96
  6. Step 6: Final answer
    x = 240,247.56

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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.