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Finding the Fourth Proportional to 492,806.10, 739,233.45 and 256,610.10

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Solution

The fourth proportional to 492,806.10, 739,233.45 and 256,610.10 is: 384,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,806.10 : 739,233.45 = 256,610.10 : x
  2. Step 2: Convert to fraction form
    492,806.10/739,233.45 = 256,610.10/x
  3. Step 3: Cross multiply
    492,806.10x = 739,233.45 × 256,610.10
  4. Step 4: Simplify right side
    492,806.10x = 189,694,769,527.85
  5. Step 5: Solve for x
    x = 189,694,769,527.85/492,806.10
  6. Step 6: Final answer
    x = 384,927.80

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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.