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Finding the Fourth Proportional to 524,234.85, 786,517.31 and 187,268.01

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Solution

The fourth proportional to 524,234.85, 786,517.31 and 187,268.01 is: 280,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,234.85 : 786,517.31 = 187,268.01 : x
  2. Step 2: Convert to fraction form
    524,234.85/786,517.31 = 187,268.01/x
  3. Step 3: Cross multiply
    524,234.85x = 786,517.31 × 187,268.01
  4. Step 4: Simplify right side
    524,234.85x = 147,289,531,474.25
  5. Step 5: Solve for x
    x = 147,289,531,474.25/524,234.85
  6. Step 6: Final answer
    x = 280,960.97

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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.