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Finding the Fourth Proportional to 431,301.70, 647,146.95 and 206,575.30

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Solution

The fourth proportional to 431,301.70, 647,146.95 and 206,575.30 is: 309,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,301.70 : 647,146.95 = 206,575.30 : x
  2. Step 2: Convert to fraction form
    431,301.70/647,146.95 = 206,575.30/x
  3. Step 3: Cross multiply
    431,301.70x = 647,146.95 × 206,575.30
  4. Step 4: Simplify right side
    431,301.70x = 133,684,575,340.34
  5. Step 5: Solve for x
    x = 133,684,575,340.34/431,301.70
  6. Step 6: Final answer
    x = 309,956.06

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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.