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Finding the Fourth Proportional to 414,516.14, 572,032.26 and 235,668.14

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Solution

The fourth proportional to 414,516.14, 572,032.26 and 235,668.14 is: 325,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,516.14 : 572,032.26 = 235,668.14 : x
  2. Step 2: Convert to fraction form
    414,516.14/572,032.26 = 235,668.14/x
  3. Step 3: Cross multiply
    414,516.14x = 572,032.26 × 235,668.14
  4. Step 4: Simplify right side
    414,516.14x = 134,809,778,734.20
  5. Step 5: Solve for x
    x = 134,809,778,734.20/414,516.14
  6. Step 6: Final answer
    x = 325,222.03

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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.