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Finding the Fourth Proportional to 256,634.20, 384,222.30 and 242,669.80

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Solution

The fourth proportional to 256,634.20, 384,222.30 and 242,669.80 is: 363,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634.20 : 384,222.30 = 242,669.80 : x
  2. Step 2: Convert to fraction form
    256,634.20/384,222.30 = 242,669.80/x
  3. Step 3: Cross multiply
    256,634.20x = 384,222.30 × 242,669.80
  4. Step 4: Simplify right side
    256,634.20x = 93,239,148,696.54
  5. Step 5: Solve for x
    x = 93,239,148,696.54/256,634.20
  6. Step 6: Final answer
    x = 363,315.37

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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.