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Finding the Fourth Proportional to 492,766.58, 679,401.74 and 411,212.33

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Solution

The fourth proportional to 492,766.58, 679,401.74 and 411,212.33 is: 566,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,766.58 : 679,401.74 = 411,212.33 : x
  2. Step 2: Convert to fraction form
    492,766.58/679,401.74 = 411,212.33/x
  3. Step 3: Cross multiply
    492,766.58x = 679,401.74 × 411,212.33
  4. Step 4: Simplify right side
    492,766.58x = 279,378,372,511.45
  5. Step 5: Solve for x
    x = 279,378,372,511.45/492,766.58
  6. Step 6: Final answer
    x = 566,958.85

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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.