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Finding the Fourth Proportional to 493,201.96, 737,856.42 and 380,024.74

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Solution

The fourth proportional to 493,201.96, 737,856.42 and 380,024.74 is: 568,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,201.96 : 737,856.42 = 380,024.74 : x
  2. Step 2: Convert to fraction form
    493,201.96/737,856.42 = 380,024.74/x
  3. Step 3: Cross multiply
    493,201.96x = 737,856.42 × 380,024.74
  4. Step 4: Simplify right side
    493,201.96x = 280,403,694,167.83
  5. Step 5: Solve for x
    x = 280,403,694,167.83/493,201.96
  6. Step 6: Final answer
    x = 568,537.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.