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Finding the Fourth Proportional to 303,532.80, 455,299.20 and 145,723.20

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Solution

The fourth proportional to 303,532.80, 455,299.20 and 145,723.20 is: 218,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,532.80 : 455,299.20 = 145,723.20 : x
  2. Step 2: Convert to fraction form
    303,532.80/455,299.20 = 145,723.20/x
  3. Step 3: Cross multiply
    303,532.80x = 455,299.20 × 145,723.20
  4. Step 4: Simplify right side
    303,532.80x = 66,347,656,381.44
  5. Step 5: Solve for x
    x = 66,347,656,381.44/303,532.80
  6. Step 6: Final answer
    x = 218,584.80

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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.