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Finding the Fourth Proportional to 414,650.73, 572,394.56 and 278,763.48

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Solution

The fourth proportional to 414,650.73, 572,394.56 and 278,763.48 is: 384,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,650.73 : 572,394.56 = 278,763.48 : x
  2. Step 2: Convert to fraction form
    414,650.73/572,394.56 = 278,763.48/x
  3. Step 3: Cross multiply
    414,650.73x = 572,394.56 × 278,763.48
  4. Step 4: Simplify right side
    414,650.73x = 159,562,698,084.85
  5. Step 5: Solve for x
    x = 159,562,698,084.85/414,650.73
  6. Step 6: Final answer
    x = 384,812.29

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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.