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Finding the Fourth Proportional to 294,816.52, 441,343.38 and 180,604.54

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Solution

The fourth proportional to 294,816.52, 441,343.38 and 180,604.54 is: 270,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,816.52 : 441,343.38 = 180,604.54 : x
  2. Step 2: Convert to fraction form
    294,816.52/441,343.38 = 180,604.54/x
  3. Step 3: Cross multiply
    294,816.52x = 441,343.38 × 180,604.54
  4. Step 4: Simplify right side
    294,816.52x = 79,708,618,126.95
  5. Step 5: Solve for x
    x = 79,708,618,126.95/294,816.52
  6. Step 6: Final answer
    x = 270,366.86

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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.