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Finding the Fourth Proportional to 433,213.68, 649,820.52 and 285,435.12

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Solution

The fourth proportional to 433,213.68, 649,820.52 and 285,435.12 is: 428,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,213.68 : 649,820.52 = 285,435.12 : x
  2. Step 2: Convert to fraction form
    433,213.68/649,820.52 = 285,435.12/x
  3. Step 3: Cross multiply
    433,213.68x = 649,820.52 × 285,435.12
  4. Step 4: Simplify right side
    433,213.68x = 185,481,598,104.66
  5. Step 5: Solve for x
    x = 185,481,598,104.66/433,213.68
  6. Step 6: Final answer
    x = 428,152.68

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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.