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Finding the Fourth Proportional to 531,732.26, 797,503.67 and 211,857.31

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Solution

The fourth proportional to 531,732.26, 797,503.67 and 211,857.31 is: 317,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,732.26 : 797,503.67 = 211,857.31 : x
  2. Step 2: Convert to fraction form
    531,732.26/797,503.67 = 211,857.31/x
  3. Step 3: Cross multiply
    531,732.26x = 797,503.67 × 211,857.31
  4. Step 4: Simplify right side
    531,732.26x = 168,956,983,043.59
  5. Step 5: Solve for x
    x = 168,956,983,043.59/531,732.26
  6. Step 6: Final answer
    x = 317,748.23

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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.