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Finding the Fourth Proportional to 431,398.70, 647,098.05 and 221,446.70

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Solution

The fourth proportional to 431,398.70, 647,098.05 and 221,446.70 is: 332,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,398.70 : 647,098.05 = 221,446.70 : x
  2. Step 2: Convert to fraction form
    431,398.70/647,098.05 = 221,446.70/x
  3. Step 3: Cross multiply
    431,398.70x = 647,098.05 × 221,446.70
  4. Step 4: Simplify right side
    431,398.70x = 143,297,727,748.94
  5. Step 5: Solve for x
    x = 143,297,727,748.94/431,398.70
  6. Step 6: Final answer
    x = 332,170.05

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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.