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Finding the Fourth Proportional to 350,229.62, 524,851.65 and 200,245.16

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Solution

The fourth proportional to 350,229.62, 524,851.65 and 200,245.16 is: 300,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,229.62 : 524,851.65 = 200,245.16 : x
  2. Step 2: Convert to fraction form
    350,229.62/524,851.65 = 200,245.16/x
  3. Step 3: Cross multiply
    350,229.62x = 524,851.65 × 200,245.16
  4. Step 4: Simplify right side
    350,229.62x = 105,099,003,942.64
  5. Step 5: Solve for x
    x = 105,099,003,942.64/350,229.62
  6. Step 6: Final answer
    x = 300,085.99

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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.