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Finding the Fourth Proportional to 414,092.20, 571,434 and 232,811.80

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Solution

The fourth proportional to 414,092.20, 571,434 and 232,811.80 is: 321,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,092.20 : 571,434 = 232,811.80 : x
  2. Step 2: Convert to fraction form
    414,092.20/571,434 = 232,811.80/x
  3. Step 3: Cross multiply
    414,092.20x = 571,434 × 232,811.80
  4. Step 4: Simplify right side
    414,092.20x = 133,036,578,121.20
  5. Step 5: Solve for x
    x = 133,036,578,121.20/414,092.20
  6. Step 6: Final answer
    x = 321,272.84

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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.