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Finding the Fourth Proportional to 512,635.26, 707,434.39 and 283,192.65

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Solution

The fourth proportional to 512,635.26, 707,434.39 and 283,192.65 is: 390,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,635.26 : 707,434.39 = 283,192.65 : x
  2. Step 2: Convert to fraction form
    512,635.26/707,434.39 = 283,192.65/x
  3. Step 3: Cross multiply
    512,635.26x = 707,434.39 × 283,192.65
  4. Step 4: Simplify right side
    512,635.26x = 200,340,219,959.22
  5. Step 5: Solve for x
    x = 200,340,219,959.22/512,635.26
  6. Step 6: Final answer
    x = 390,804.60

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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.