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Finding the Fourth Proportional to 533,216.64, 800,026.98 and 320,133.36

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Solution

The fourth proportional to 533,216.64, 800,026.98 and 320,133.36 is: 480,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,216.64 : 800,026.98 = 320,133.36 : x
  2. Step 2: Convert to fraction form
    533,216.64/800,026.98 = 320,133.36/x
  3. Step 3: Cross multiply
    533,216.64x = 800,026.98 × 320,133.36
  4. Step 4: Simplify right side
    533,216.64x = 256,115,325,198.05
  5. Step 5: Solve for x
    x = 256,115,325,198.05/533,216.64
  6. Step 6: Final answer
    x = 480,321.33

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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.