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Finding the Fourth Proportional to 414,268.46, 571,685.06 and 232,980.34

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Solution

The fourth proportional to 414,268.46, 571,685.06 and 232,980.34 is: 321,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,268.46 : 571,685.06 = 232,980.34 : x
  2. Step 2: Convert to fraction form
    414,268.46/571,685.06 = 232,980.34/x
  3. Step 3: Cross multiply
    414,268.46x = 571,685.06 × 232,980.34
  4. Step 4: Simplify right side
    414,268.46x = 133,191,379,651.72
  5. Step 5: Solve for x
    x = 133,191,379,651.72/414,268.46
  6. Step 6: Final answer
    x = 321,509.82

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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.