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Finding the Fourth Proportional to 531,738.26, 797,512.68 and 211,863.32

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Solution

The fourth proportional to 531,738.26, 797,512.68 and 211,863.32 is: 317,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,738.26 : 797,512.68 = 211,863.32 : x
  2. Step 2: Convert to fraction form
    531,738.26/797,512.68 = 211,863.32/x
  3. Step 3: Cross multiply
    531,738.26x = 797,512.68 × 211,863.32
  4. Step 4: Simplify right side
    531,738.26x = 168,963,680,139.33
  5. Step 5: Solve for x
    x = 168,963,680,139.33/531,738.26
  6. Step 6: Final answer
    x = 317,757.24

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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.