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Finding the Fourth Proportional to 512,891.17, 707,768.02 and 283,457.05

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Solution

The fourth proportional to 512,891.17, 707,768.02 and 283,457.05 is: 391,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,891.17 : 707,768.02 = 283,457.05 : x
  2. Step 2: Convert to fraction form
    512,891.17/707,768.02 = 283,457.05/x
  3. Step 3: Cross multiply
    512,891.17x = 707,768.02 × 283,457.05
  4. Step 4: Simplify right side
    512,891.17x = 200,621,834,324.90
  5. Step 5: Solve for x
    x = 200,621,834,324.90/512,891.17
  6. Step 6: Final answer
    x = 391,158.68

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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.