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Finding the Fourth Proportional to 414,516, 572,032.08 and 235,668

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Solution

The fourth proportional to 414,516, 572,032.08 and 235,668 is: 325,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,516 : 572,032.08 = 235,668 : x
  2. Step 2: Convert to fraction form
    414,516/572,032.08 = 235,668/x
  3. Step 3: Cross multiply
    414,516x = 572,032.08 × 235,668
  4. Step 4: Simplify right side
    414,516x = 134,809,656,229.44
  5. Step 5: Solve for x
    x = 134,809,656,229.44/414,516
  6. Step 6: Final answer
    x = 325,221.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.