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Finding the Fourth Proportional to 362,704.80, 544,057.20 and 288,055.20

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Solution

The fourth proportional to 362,704.80, 544,057.20 and 288,055.20 is: 432,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,704.80 : 544,057.20 = 288,055.20 : x
  2. Step 2: Convert to fraction form
    362,704.80/544,057.20 = 288,055.20/x
  3. Step 3: Cross multiply
    362,704.80x = 544,057.20 × 288,055.20
  4. Step 4: Simplify right side
    362,704.80x = 156,718,505,557.44
  5. Step 5: Solve for x
    x = 156,718,505,557.44/362,704.80
  6. Step 6: Final answer
    x = 432,082.80

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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.