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Finding the Fourth Proportional to 512,245.26, 707,137.65 and 297,343.95

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Solution

The fourth proportional to 512,245.26, 707,137.65 and 297,343.95 is: 410,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,245.26 : 707,137.65 = 297,343.95 : x
  2. Step 2: Convert to fraction form
    512,245.26/707,137.65 = 297,343.95/x
  3. Step 3: Cross multiply
    512,245.26x = 707,137.65 × 297,343.95
  4. Step 4: Simplify right side
    512,245.26x = 210,263,102,044.72
  5. Step 5: Solve for x
    x = 210,263,102,044.72/512,245.26
  6. Step 6: Final answer
    x = 410,473.49

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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.