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Finding the Fourth Proportional to 431,704.94, 595,738.10 and 238,120.34

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Solution

The fourth proportional to 431,704.94, 595,738.10 and 238,120.34 is: 328,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704.94 : 595,738.10 = 238,120.34 : x
  2. Step 2: Convert to fraction form
    431,704.94/595,738.10 = 238,120.34/x
  3. Step 3: Cross multiply
    431,704.94x = 595,738.10 × 238,120.34
  4. Step 4: Simplify right side
    431,704.94x = 141,857,354,753.66
  5. Step 5: Solve for x
    x = 141,857,354,753.66/431,704.94
  6. Step 6: Final answer
    x = 328,597.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.