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Finding the Fourth Proportional to 303,711.20, 455,761.20 and 177,351.20

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Solution

The fourth proportional to 303,711.20, 455,761.20 and 177,351.20 is: 266,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,711.20 : 455,761.20 = 177,351.20 : x
  2. Step 2: Convert to fraction form
    303,711.20/455,761.20 = 177,351.20/x
  3. Step 3: Cross multiply
    303,711.20x = 455,761.20 × 177,351.20
  4. Step 4: Simplify right side
    303,711.20x = 80,829,795,733.44
  5. Step 5: Solve for x
    x = 80,829,795,733.44/303,711.20
  6. Step 6: Final answer
    x = 266,140.32

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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.