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Finding the Fourth Proportional to 411,926.82, 568,409.13 and 230,624.52

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Solution

The fourth proportional to 411,926.82, 568,409.13 and 230,624.52 is: 318,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,926.82 : 568,409.13 = 230,624.52 : x
  2. Step 2: Convert to fraction form
    411,926.82/568,409.13 = 230,624.52/x
  3. Step 3: Cross multiply
    411,926.82x = 568,409.13 × 230,624.52
  4. Step 4: Simplify right side
    411,926.82x = 131,089,082,769.87
  5. Step 5: Solve for x
    x = 131,089,082,769.87/411,926.82
  6. Step 6: Final answer
    x = 318,233.91

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