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Finding the Fourth Proportional to 411,912.76, 568,412.10 and 230,594.04

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Solution

The fourth proportional to 411,912.76, 568,412.10 and 230,594.04 is: 318,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912.76 : 568,412.10 = 230,594.04 : x
  2. Step 2: Convert to fraction form
    411,912.76/568,412.10 = 230,594.04/x
  3. Step 3: Cross multiply
    411,912.76x = 568,412.10 × 230,594.04
  4. Step 4: Simplify right side
    411,912.76x = 131,072,442,523.88
  5. Step 5: Solve for x
    x = 131,072,442,523.88/411,912.76
  6. Step 6: Final answer
    x = 318,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.