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Finding the Fourth Proportional to 512,042.08, 706,744.56 and 311,006.56

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Solution

The fourth proportional to 512,042.08, 706,744.56 and 311,006.56 is: 429,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,042.08 : 706,744.56 = 311,006.56 : x
  2. Step 2: Convert to fraction form
    512,042.08/706,744.56 = 311,006.56/x
  3. Step 3: Cross multiply
    512,042.08x = 706,744.56 × 311,006.56
  4. Step 4: Simplify right side
    512,042.08x = 219,802,194,404.31
  5. Step 5: Solve for x
    x = 219,802,194,404.31/512,042.08
  6. Step 6: Final answer
    x = 429,265.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.