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Finding the Fourth Proportional to 382,568.80, 573,197.10 and 182,458.30

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Solution

The fourth proportional to 382,568.80, 573,197.10 and 182,458.30 is: 273,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,568.80 : 573,197.10 = 182,458.30 : x
  2. Step 2: Convert to fraction form
    382,568.80/573,197.10 = 182,458.30/x
  3. Step 3: Cross multiply
    382,568.80x = 573,197.10 × 182,458.30
  4. Step 4: Simplify right side
    382,568.80x = 104,584,568,430.93
  5. Step 5: Solve for x
    x = 104,584,568,430.93/382,568.80
  6. Step 6: Final answer
    x = 273,374.54

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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.