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Finding the Fourth Proportional to 414,072.30, 571,349.80 and 232,760.10

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Solution

The fourth proportional to 414,072.30, 571,349.80 and 232,760.10 is: 321,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,072.30 : 571,349.80 = 232,760.10 : x
  2. Step 2: Convert to fraction form
    414,072.30/571,349.80 = 232,760.10/x
  3. Step 3: Cross multiply
    414,072.30x = 571,349.80 × 232,760.10
  4. Step 4: Simplify right side
    414,072.30x = 132,987,436,582.98
  5. Step 5: Solve for x
    x = 132,987,436,582.98/414,072.30
  6. Step 6: Final answer
    x = 321,169.60

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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.