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Finding the Fourth Proportional to 512,754.36, 707,615.29 and 283,326.49

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Solution

The fourth proportional to 512,754.36, 707,615.29 and 283,326.49 is: 390,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,754.36 : 707,615.29 = 283,326.49 : x
  2. Step 2: Convert to fraction form
    512,754.36/707,615.29 = 283,326.49/x
  3. Step 3: Cross multiply
    512,754.36x = 707,615.29 × 283,326.49
  4. Step 4: Simplify right side
    512,754.36x = 200,486,156,386.03
  5. Step 5: Solve for x
    x = 200,486,156,386.03/512,754.36
  6. Step 6: Final answer
    x = 390,998.44

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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.