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Finding the Fourth Proportional to 493,197.72, 680,563.26 and 278,325

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Solution

The fourth proportional to 493,197.72, 680,563.26 and 278,325 is: 384,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,197.72 : 680,563.26 = 278,325 : x
  2. Step 2: Convert to fraction form
    493,197.72/680,563.26 = 278,325/x
  3. Step 3: Cross multiply
    493,197.72x = 680,563.26 × 278,325
  4. Step 4: Simplify right side
    493,197.72x = 189,417,769,339.50
  5. Step 5: Solve for x
    x = 189,417,769,339.50/493,197.72
  6. Step 6: Final answer
    x = 384,060.51

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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.