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Finding the Fourth Proportional to 431,694.80, 647,542.20 and 282,395.60

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Solution

The fourth proportional to 431,694.80, 647,542.20 and 282,395.60 is: 423,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,694.80 : 647,542.20 = 282,395.60 : x
  2. Step 2: Convert to fraction form
    431,694.80/647,542.20 = 282,395.60/x
  3. Step 3: Cross multiply
    431,694.80x = 647,542.20 × 282,395.60
  4. Step 4: Simplify right side
    431,694.80x = 182,863,068,094.32
  5. Step 5: Solve for x
    x = 182,863,068,094.32/431,694.80
  6. Step 6: Final answer
    x = 423,593.40

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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.