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Finding the Fourth Proportional to 431,300.70, 647,145.45 and 206,574.30

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Solution

The fourth proportional to 431,300.70, 647,145.45 and 206,574.30 is: 309,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,300.70 : 647,145.45 = 206,574.30 : x
  2. Step 2: Convert to fraction form
    431,300.70/647,145.45 = 206,574.30/x
  3. Step 3: Cross multiply
    431,300.70x = 647,145.45 × 206,574.30
  4. Step 4: Simplify right side
    431,300.70x = 133,683,618,331.94
  5. Step 5: Solve for x
    x = 133,683,618,331.94/431,300.70
  6. Step 6: Final answer
    x = 309,954.56

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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.