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Finding the Fourth Proportional to 509,841.57, 764,760.98 and 189,986.15

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Solution

The fourth proportional to 509,841.57, 764,760.98 and 189,986.15 is: 284,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,841.57 : 764,760.98 = 189,986.15 : x
  2. Step 2: Convert to fraction form
    509,841.57/764,760.98 = 189,986.15/x
  3. Step 3: Cross multiply
    509,841.57x = 764,760.98 × 189,986.15
  4. Step 4: Simplify right side
    509,841.57x = 145,293,993,310.50
  5. Step 5: Solve for x
    x = 145,293,993,310.50/509,841.57
  6. Step 6: Final answer
    x = 284,978.71

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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.