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Finding the Fourth Proportional to 382,203.80, 572,517.30 and 223,952.60

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Solution

The fourth proportional to 382,203.80, 572,517.30 and 223,952.60 is: 335,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,203.80 : 572,517.30 = 223,952.60 : x
  2. Step 2: Convert to fraction form
    382,203.80/572,517.30 = 223,952.60/x
  3. Step 3: Cross multiply
    382,203.80x = 572,517.30 × 223,952.60
  4. Step 4: Simplify right side
    382,203.80x = 128,216,737,879.98
  5. Step 5: Solve for x
    x = 128,216,737,879.98/382,203.80
  6. Step 6: Final answer
    x = 335,466.94

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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.