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Finding the Fourth Proportional to 363,076.40, 543,966.60 and 175,674.80

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Solution

The fourth proportional to 363,076.40, 543,966.60 and 175,674.80 is: 263,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,076.40 : 543,966.60 = 175,674.80 : x
  2. Step 2: Convert to fraction form
    363,076.40/543,966.60 = 175,674.80/x
  3. Step 3: Cross multiply
    363,076.40x = 543,966.60 × 175,674.80
  4. Step 4: Simplify right side
    363,076.40x = 95,561,223,661.68
  5. Step 5: Solve for x
    x = 95,561,223,661.68/363,076.40
  6. Step 6: Final answer
    x = 263,198.66

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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.