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Finding the Fourth Proportional to 414,147.59, 571,516.74 and 230,383.97

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Solution

The fourth proportional to 414,147.59, 571,516.74 and 230,383.97 is: 317,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,147.59 : 571,516.74 = 230,383.97 : x
  2. Step 2: Convert to fraction form
    414,147.59/571,516.74 = 230,383.97/x
  3. Step 3: Cross multiply
    414,147.59x = 571,516.74 × 230,383.97
  4. Step 4: Simplify right side
    414,147.59x = 131,668,292,625.07
  5. Step 5: Solve for x
    x = 131,668,292,625.07/414,147.59
  6. Step 6: Final answer
    x = 317,926.02

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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.