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Finding the Fourth Proportional to 431,717, 595,769.46 and 252,869

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Solution

The fourth proportional to 431,717, 595,769.46 and 252,869 is: 348,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,717 : 595,769.46 = 252,869 : x
  2. Step 2: Convert to fraction form
    431,717/595,769.46 = 252,869/x
  3. Step 3: Cross multiply
    431,717x = 595,769.46 × 252,869
  4. Step 4: Simplify right side
    431,717x = 150,651,627,580.74
  5. Step 5: Solve for x
    x = 150,651,627,580.74/431,717
  6. Step 6: Final answer
    x = 348,959.22

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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.