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Finding the Fourth Proportional to 431,522.32, 646,834.39 and 241,704.39

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Solution

The fourth proportional to 431,522.32, 646,834.39 and 241,704.39 is: 362,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,522.32 : 646,834.39 = 241,704.39 : x
  2. Step 2: Convert to fraction form
    431,522.32/646,834.39 = 241,704.39/x
  3. Step 3: Cross multiply
    431,522.32x = 646,834.39 × 241,704.39
  4. Step 4: Simplify right side
    431,522.32x = 156,342,711,665.97
  5. Step 5: Solve for x
    x = 156,342,711,665.97/431,522.32
  6. Step 6: Final answer
    x = 362,305.04

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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.