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Finding the Fourth Proportional to 431,684.20, 647,267.10 and 221,732.20

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Solution

The fourth proportional to 431,684.20, 647,267.10 and 221,732.20 is: 332,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,684.20 : 647,267.10 = 221,732.20 : x
  2. Step 2: Convert to fraction form
    431,684.20/647,267.10 = 221,732.20/x
  3. Step 3: Cross multiply
    431,684.20x = 647,267.10 × 221,732.20
  4. Step 4: Simplify right side
    431,684.20x = 143,519,958,070.62
  5. Step 5: Solve for x
    x = 143,519,958,070.62/431,684.20
  6. Step 6: Final answer
    x = 332,465.16

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1.5x scale

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.