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Finding the Fourth Proportional to 492,000.99, 678,992.54 and 285,311.67

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Solution

The fourth proportional to 492,000.99, 678,992.54 and 285,311.67 is: 393,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,000.99 : 678,992.54 = 285,311.67 : x
  2. Step 2: Convert to fraction form
    492,000.99/678,992.54 = 285,311.67/x
  3. Step 3: Cross multiply
    492,000.99x = 678,992.54 × 285,311.67
  4. Step 4: Simplify right side
    492,000.99x = 193,724,494,078.38
  5. Step 5: Solve for x
    x = 193,724,494,078.38/492,000.99
  6. Step 6: Final answer
    x = 393,748.18

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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.