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Finding the Fourth Proportional to 492,766.80, 739,150.20 and 282,231.60

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Solution

The fourth proportional to 492,766.80, 739,150.20 and 282,231.60 is: 423,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,766.80 : 739,150.20 = 282,231.60 : x
  2. Step 2: Convert to fraction form
    492,766.80/739,150.20 = 282,231.60/x
  3. Step 3: Cross multiply
    492,766.80x = 739,150.20 × 282,231.60
  4. Step 4: Simplify right side
    492,766.80x = 208,611,543,586.32
  5. Step 5: Solve for x
    x = 208,611,543,586.32/492,766.80
  6. Step 6: Final answer
    x = 423,347.40

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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.