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Finding the Fourth Proportional to 362,494.80, 543,742.20 and 328,669.20

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Solution

The fourth proportional to 362,494.80, 543,742.20 and 328,669.20 is: 493,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,494.80 : 543,742.20 = 328,669.20 : x
  2. Step 2: Convert to fraction form
    362,494.80/543,742.20 = 328,669.20/x
  3. Step 3: Cross multiply
    362,494.80x = 543,742.20 × 328,669.20
  4. Step 4: Simplify right side
    362,494.80x = 178,711,313,880.24
  5. Step 5: Solve for x
    x = 178,711,313,880.24/362,494.80
  6. Step 6: Final answer
    x = 493,003.80

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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.