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Finding the Fourth Proportional to 361,908.80, 541,826.40 and 320,436.80

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Solution

The fourth proportional to 361,908.80, 541,826.40 and 320,436.80 is: 479,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,908.80 : 541,826.40 = 320,436.80 : x
  2. Step 2: Convert to fraction form
    361,908.80/541,826.40 = 320,436.80/x
  3. Step 3: Cross multiply
    361,908.80x = 541,826.40 × 320,436.80
  4. Step 4: Simplify right side
    361,908.80x = 173,621,117,771.52
  5. Step 5: Solve for x
    x = 173,621,117,771.52/361,908.80
  6. Step 6: Final answer
    x = 479,737.21

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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.