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Finding the Fourth Proportional to 496,072.79, 743,930.51 and 171,772.76

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Solution

The fourth proportional to 496,072.79, 743,930.51 and 171,772.76 is: 257,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,072.79 : 743,930.51 = 171,772.76 : x
  2. Step 2: Convert to fraction form
    496,072.79/743,930.51 = 171,772.76/x
  3. Step 3: Cross multiply
    496,072.79x = 743,930.51 × 171,772.76
  4. Step 4: Simplify right side
    496,072.79x = 127,786,992,372.39
  5. Step 5: Solve for x
    x = 127,786,992,372.39/496,072.79
  6. Step 6: Final answer
    x = 257,597.26

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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.