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Finding the Fourth Proportional to 531,085.38, 796,996.01 and 211,204.50

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Solution

The fourth proportional to 531,085.38, 796,996.01 and 211,204.50 is: 316,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,085.38 : 796,996.01 = 211,204.50 : x
  2. Step 2: Convert to fraction form
    531,085.38/796,996.01 = 211,204.50/x
  3. Step 3: Cross multiply
    531,085.38x = 796,996.01 × 211,204.50
  4. Step 4: Simplify right side
    531,085.38x = 168,329,143,794.05
  5. Step 5: Solve for x
    x = 168,329,143,794.05/531,085.38
  6. Step 6: Final answer
    x = 316,953.07

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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.