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Finding the Fourth Proportional to 512,953.18, 707,912.04 and 283,505.53

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Solution

The fourth proportional to 512,953.18, 707,912.04 and 283,505.53 is: 391,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,953.18 : 707,912.04 = 283,505.53 : x
  2. Step 2: Convert to fraction form
    512,953.18/707,912.04 = 283,505.53/x
  3. Step 3: Cross multiply
    512,953.18x = 707,912.04 × 283,505.53
  4. Step 4: Simplify right side
    512,953.18x = 200,696,978,093.58
  5. Step 5: Solve for x
    x = 200,696,978,093.58/512,953.18
  6. Step 6: Final answer
    x = 391,257.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.