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Finding the Fourth Proportional to 382,099, 572,360.75 and 223,847.68

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Solution

The fourth proportional to 382,099, 572,360.75 and 223,847.68 is: 335,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,099 : 572,360.75 = 223,847.68 : x
  2. Step 2: Convert to fraction form
    382,099/572,360.75 = 223,847.68/x
  3. Step 3: Cross multiply
    382,099x = 572,360.75 × 223,847.68
  4. Step 4: Simplify right side
    382,099x = 128,121,626,010.56
  5. Step 5: Solve for x
    x = 128,121,626,010.56/382,099
  6. Step 6: Final answer
    x = 335,310.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.