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Finding the Fourth Proportional to 362,434.80, 543,652.20 and 287,785.20

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Solution

The fourth proportional to 362,434.80, 543,652.20 and 287,785.20 is: 431,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,434.80 : 543,652.20 = 287,785.20 : x
  2. Step 2: Convert to fraction form
    362,434.80/543,652.20 = 287,785.20/x
  3. Step 3: Cross multiply
    362,434.80x = 543,652.20 × 287,785.20
  4. Step 4: Simplify right side
    362,434.80x = 156,455,057,107.44
  5. Step 5: Solve for x
    x = 156,455,057,107.44/362,434.80
  6. Step 6: Final answer
    x = 431,677.80

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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.