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Finding the Fourth Proportional to 414,077.46, 571,413.56 and 232,797

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Solution

The fourth proportional to 414,077.46, 571,413.56 and 232,797 is: 321,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,077.46 : 571,413.56 = 232,797 : x
  2. Step 2: Convert to fraction form
    414,077.46/571,413.56 = 232,797/x
  3. Step 3: Cross multiply
    414,077.46x = 571,413.56 × 232,797
  4. Step 4: Simplify right side
    414,077.46x = 133,023,362,527.32
  5. Step 5: Solve for x
    x = 133,023,362,527.32/414,077.46
  6. Step 6: Final answer
    x = 321,252.36

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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.