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Finding the Fourth Proportional to 493,906.50, 739,913.10 and 293,620.50

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Solution

The fourth proportional to 493,906.50, 739,913.10 and 293,620.50 is: 439,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,906.50 : 739,913.10 = 293,620.50 : x
  2. Step 2: Convert to fraction form
    493,906.50/739,913.10 = 293,620.50/x
  3. Step 3: Cross multiply
    493,906.50x = 739,913.10 × 293,620.50
  4. Step 4: Simplify right side
    493,906.50x = 217,253,654,378.55
  5. Step 5: Solve for x
    x = 217,253,654,378.55/493,906.50
  6. Step 6: Final answer
    x = 439,867.98

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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.