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Finding the Fourth Proportional to 363,859.14, 543,230.34 and 278,020.76

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Solution

The fourth proportional to 363,859.14, 543,230.34 and 278,020.76 is: 415,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,859.14 : 543,230.34 = 278,020.76 : x
  2. Step 2: Convert to fraction form
    363,859.14/543,230.34 = 278,020.76/x
  3. Step 3: Cross multiply
    363,859.14x = 543,230.34 × 278,020.76
  4. Step 4: Simplify right side
    363,859.14x = 151,029,310,591.76
  5. Step 5: Solve for x
    x = 151,029,310,591.76/363,859.14
  6. Step 6: Final answer
    x = 415,076.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.