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Finding the Fourth Proportional to 492,846.30, 739,269.45 and 442,982.70

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Solution

The fourth proportional to 492,846.30, 739,269.45 and 442,982.70 is: 664,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,846.30 : 739,269.45 = 442,982.70 : x
  2. Step 2: Convert to fraction form
    492,846.30/739,269.45 = 442,982.70/x
  3. Step 3: Cross multiply
    492,846.30x = 739,269.45 × 442,982.70
  4. Step 4: Simplify right side
    492,846.30x = 327,483,576,988.52
  5. Step 5: Solve for x
    x = 327,483,576,988.52/492,846.30
  6. Step 6: Final answer
    x = 664,474.05

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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.