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Finding the Fourth Proportional to 256,622.20, 384,204.30 and 242,657.80

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Solution

The fourth proportional to 256,622.20, 384,204.30 and 242,657.80 is: 363,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,622.20 : 384,204.30 = 242,657.80 : x
  2. Step 2: Convert to fraction form
    256,622.20/384,204.30 = 242,657.80/x
  3. Step 3: Cross multiply
    256,622.20x = 384,204.30 × 242,657.80
  4. Step 4: Simplify right side
    256,622.20x = 93,230,170,188.54
  5. Step 5: Solve for x
    x = 93,230,170,188.54/256,622.20
  6. Step 6: Final answer
    x = 363,297.37

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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.