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Finding the Fourth Proportional to 512,448.69, 707,126.85 and 297,634.26

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Solution

The fourth proportional to 512,448.69, 707,126.85 and 297,634.26 is: 410,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,448.69 : 707,126.85 = 297,634.26 : x
  2. Step 2: Convert to fraction form
    512,448.69/707,126.85 = 297,634.26/x
  3. Step 3: Cross multiply
    512,448.69x = 707,126.85 × 297,634.26
  4. Step 4: Simplify right side
    512,448.69x = 210,465,176,725.88
  5. Step 5: Solve for x
    x = 210,465,176,725.88/512,448.69
  6. Step 6: Final answer
    x = 410,704.88

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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.