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Finding the Fourth Proportional to 382,201.80, 572,514.30 and 223,950.60

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Solution

The fourth proportional to 382,201.80, 572,514.30 and 223,950.60 is: 335,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,201.80 : 572,514.30 = 223,950.60 : x
  2. Step 2: Convert to fraction form
    382,201.80/572,514.30 = 223,950.60/x
  3. Step 3: Cross multiply
    382,201.80x = 572,514.30 × 223,950.60
  4. Step 4: Simplify right side
    382,201.80x = 128,214,920,993.58
  5. Step 5: Solve for x
    x = 128,214,920,993.58/382,201.80
  6. Step 6: Final answer
    x = 335,463.94

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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.