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Finding the Fourth Proportional to 431,274.98, 646,648.95 and 206,704.10

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Solution

The fourth proportional to 431,274.98, 646,648.95 and 206,704.10 is: 309,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,274.98 : 646,648.95 = 206,704.10 : x
  2. Step 2: Convert to fraction form
    431,274.98/646,648.95 = 206,704.10/x
  3. Step 3: Cross multiply
    431,274.98x = 646,648.95 × 206,704.10
  4. Step 4: Simplify right side
    431,274.98x = 133,664,989,225.70
  5. Step 5: Solve for x
    x = 133,664,989,225.70/431,274.98
  6. Step 6: Final answer
    x = 309,929.85

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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.