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Finding the Fourth Proportional to 538,847.40, 809,145.90 and 362,137.80

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Solution

The fourth proportional to 538,847.40, 809,145.90 and 362,137.80 is: 543,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,847.40 : 809,145.90 = 362,137.80 : x
  2. Step 2: Convert to fraction form
    538,847.40/809,145.90 = 362,137.80/x
  3. Step 3: Cross multiply
    538,847.40x = 809,145.90 × 362,137.80
  4. Step 4: Simplify right side
    538,847.40x = 293,022,316,105.02
  5. Step 5: Solve for x
    x = 293,022,316,105.02/538,847.40
  6. Step 6: Final answer
    x = 543,794.62

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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.