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Finding the Fourth Proportional to 308,947.80, 433,149 and 308,947.80

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Solution

The fourth proportional to 308,947.80, 433,149 and 308,947.80 is: 433,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947.80 : 433,149 = 308,947.80 : x
  2. Step 2: Convert to fraction form
    308,947.80/433,149 = 308,947.80/x
  3. Step 3: Cross multiply
    308,947.80x = 433,149 × 308,947.80
  4. Step 4: Simplify right side
    308,947.80x = 133,820,430,622.20
  5. Step 5: Solve for x
    x = 133,820,430,622.20/308,947.80
  6. Step 6: Final answer
    x = 433,149

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.