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Finding the Fourth Proportional to 258,532.40, 388,090.20 and 199,629.20

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Solution

The fourth proportional to 258,532.40, 388,090.20 and 199,629.20 is: 299,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,532.40 : 388,090.20 = 199,629.20 : x
  2. Step 2: Convert to fraction form
    258,532.40/388,090.20 = 199,629.20/x
  3. Step 3: Cross multiply
    258,532.40x = 388,090.20 × 199,629.20
  4. Step 4: Simplify right side
    258,532.40x = 77,474,136,153.84
  5. Step 5: Solve for x
    x = 77,474,136,153.84/258,532.40
  6. Step 6: Final answer
    x = 299,668.96

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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.