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Finding the Fourth Proportional to 414,424.42, 571,899.99 and 233,136.29

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Solution

The fourth proportional to 414,424.42, 571,899.99 and 233,136.29 is: 321,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,424.42 : 571,899.99 = 233,136.29 : x
  2. Step 2: Convert to fraction form
    414,424.42/571,899.99 = 233,136.29/x
  3. Step 3: Cross multiply
    414,424.42x = 571,899.99 × 233,136.29
  4. Step 4: Simplify right side
    414,424.42x = 133,330,644,223.65
  5. Step 5: Solve for x
    x = 133,330,644,223.65/414,424.42
  6. Step 6: Final answer
    x = 321,724.88

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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.