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Finding the Fourth Proportional to 492,823.80, 739,235.70 and 442,960.20

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Solution

The fourth proportional to 492,823.80, 739,235.70 and 442,960.20 is: 664,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,823.80 : 739,235.70 = 442,960.20 : x
  2. Step 2: Convert to fraction form
    492,823.80/739,235.70 = 442,960.20/x
  3. Step 3: Cross multiply
    492,823.80x = 739,235.70 × 442,960.20
  4. Step 4: Simplify right side
    492,823.80x = 327,451,993,519.14
  5. Step 5: Solve for x
    x = 327,451,993,519.14/492,823.80
  6. Step 6: Final answer
    x = 664,440.30

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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.