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Finding the Fourth Proportional to 431,942.56, 595,877.52 and 280,984.48

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Solution

The fourth proportional to 431,942.56, 595,877.52 and 280,984.48 is: 387,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,942.56 : 595,877.52 = 280,984.48 : x
  2. Step 2: Convert to fraction form
    431,942.56/595,877.52 = 280,984.48/x
  3. Step 3: Cross multiply
    431,942.56x = 595,877.52 × 280,984.48
  4. Step 4: Simplify right side
    431,942.56x = 167,432,335,100.89
  5. Step 5: Solve for x
    x = 167,432,335,100.89/431,942.56
  6. Step 6: Final answer
    x = 387,626.39

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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.