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Finding the Fourth Proportional to 531,236.79, 733,085.38 and 289,514.16

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Solution

The fourth proportional to 531,236.79, 733,085.38 and 289,514.16 is: 399,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,236.79 : 733,085.38 = 289,514.16 : x
  2. Step 2: Convert to fraction form
    531,236.79/733,085.38 = 289,514.16/x
  3. Step 3: Cross multiply
    531,236.79x = 733,085.38 × 289,514.16
  4. Step 4: Simplify right side
    531,236.79x = 212,238,597,998.98
  5. Step 5: Solve for x
    x = 212,238,597,998.98/531,236.79
  6. Step 6: Final answer
    x = 399,517.88

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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.