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Finding the Fourth Proportional to 256,620.20, 384,201.30 and 242,655.80

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Solution

The fourth proportional to 256,620.20, 384,201.30 and 242,655.80 is: 363,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,620.20 : 384,201.30 = 242,655.80 : x
  2. Step 2: Convert to fraction form
    256,620.20/384,201.30 = 242,655.80/x
  3. Step 3: Cross multiply
    256,620.20x = 384,201.30 × 242,655.80
  4. Step 4: Simplify right side
    256,620.20x = 93,228,673,812.54
  5. Step 5: Solve for x
    x = 93,228,673,812.54/256,620.20
  6. Step 6: Final answer
    x = 363,294.37

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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.