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Finding the Fourth Proportional to 492,766.08, 679,401.05 and 411,211.83

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Solution

The fourth proportional to 492,766.08, 679,401.05 and 411,211.83 is: 566,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,766.08 : 679,401.05 = 411,211.83 : x
  2. Step 2: Convert to fraction form
    492,766.08/679,401.05 = 411,211.83/x
  3. Step 3: Cross multiply
    492,766.08x = 679,401.05 × 411,211.83
  4. Step 4: Simplify right side
    492,766.08x = 279,377,749,074.42
  5. Step 5: Solve for x
    x = 279,377,749,074.42/492,766.08
  6. Step 6: Final answer
    x = 566,958.16

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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.