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Finding the Fourth Proportional to 405,992.17, 609,211.14 and 206,329.78

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Solution

The fourth proportional to 405,992.17, 609,211.14 and 206,329.78 is: 309,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,992.17 : 609,211.14 = 206,329.78 : x
  2. Step 2: Convert to fraction form
    405,992.17/609,211.14 = 206,329.78/x
  3. Step 3: Cross multiply
    405,992.17x = 609,211.14 × 206,329.78
  4. Step 4: Simplify right side
    405,992.17x = 125,698,400,489.75
  5. Step 5: Solve for x
    x = 125,698,400,489.75/405,992.17
  6. Step 6: Final answer
    x = 309,607.94

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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.