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Finding the Fourth Proportional to 414,236.14, 571,808.74 and 261,243.88

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Solution

The fourth proportional to 414,236.14, 571,808.74 and 261,243.88 is: 360,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,236.14 : 571,808.74 = 261,243.88 : x
  2. Step 2: Convert to fraction form
    414,236.14/571,808.74 = 261,243.88/x
  3. Step 3: Cross multiply
    414,236.14x = 571,808.74 × 261,243.88
  4. Step 4: Simplify right side
    414,236.14x = 149,381,533,855.51
  5. Step 5: Solve for x
    x = 149,381,533,855.51/414,236.14
  6. Step 6: Final answer
    x = 360,619.27

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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.