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Finding the Fourth Proportional to 414,275.90, 571,634.31 and 232,987.27

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Solution

The fourth proportional to 414,275.90, 571,634.31 and 232,987.27 is: 321,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,275.90 : 571,634.31 = 232,987.27 : x
  2. Step 2: Convert to fraction form
    414,275.90/571,634.31 = 232,987.27/x
  3. Step 3: Cross multiply
    414,275.90x = 571,634.31 × 232,987.27
  4. Step 4: Simplify right side
    414,275.90x = 133,183,517,325.23
  5. Step 5: Solve for x
    x = 133,183,517,325.23/414,275.90
  6. Step 6: Final answer
    x = 321,485.07

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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.