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Finding the Fourth Proportional to 360,033.80, 538,884.30 and 255,057.80

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Solution

The fourth proportional to 360,033.80, 538,884.30 and 255,057.80 is: 381,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,033.80 : 538,884.30 = 255,057.80 : x
  2. Step 2: Convert to fraction form
    360,033.80/538,884.30 = 255,057.80/x
  3. Step 3: Cross multiply
    360,033.80x = 538,884.30 × 255,057.80
  4. Step 4: Simplify right side
    360,033.80x = 137,446,644,012.54
  5. Step 5: Solve for x
    x = 137,446,644,012.54/360,033.80
  6. Step 6: Final answer
    x = 381,760.39

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1.5x scale

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.