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Finding the Fourth Proportional to 411,858.66, 568,375.77 and 230,569.80

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Solution

The fourth proportional to 411,858.66, 568,375.77 and 230,569.80 is: 318,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,858.66 : 568,375.77 = 230,569.80 : x
  2. Step 2: Convert to fraction form
    411,858.66/568,375.77 = 230,569.80/x
  3. Step 3: Cross multiply
    411,858.66x = 568,375.77 × 230,569.80
  4. Step 4: Simplify right side
    411,858.66x = 131,050,287,613.75
  5. Step 5: Solve for x
    x = 131,050,287,613.75/411,858.66
  6. Step 6: Final answer
    x = 318,192.38

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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.