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Finding the Fourth Proportional to 414,268.56, 571,682.07 and 230,503.05

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Solution

The fourth proportional to 414,268.56, 571,682.07 and 230,503.05 is: 318,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,268.56 : 571,682.07 = 230,503.05 : x
  2. Step 2: Convert to fraction form
    414,268.56/571,682.07 = 230,503.05/x
  3. Step 3: Cross multiply
    414,268.56x = 571,682.07 × 230,503.05
  4. Step 4: Simplify right side
    414,268.56x = 131,774,460,765.31
  5. Step 5: Solve for x
    x = 131,774,460,765.31/414,268.56
  6. Step 6: Final answer
    x = 318,089.46

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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.