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Finding the Fourth Proportional to 332,847.80, 499,271.70 and 206,876.60

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Solution

The fourth proportional to 332,847.80, 499,271.70 and 206,876.60 is: 310,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,847.80 : 499,271.70 = 206,876.60 : x
  2. Step 2: Convert to fraction form
    332,847.80/499,271.70 = 206,876.60/x
  3. Step 3: Cross multiply
    332,847.80x = 499,271.70 × 206,876.60
  4. Step 4: Simplify right side
    332,847.80x = 103,287,631,772.22
  5. Step 5: Solve for x
    x = 103,287,631,772.22/332,847.80
  6. Step 6: Final answer
    x = 310,314.90

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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.