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Finding the Fourth Proportional to 512,824.81, 707,694.38 and 283,397.58

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Solution

The fourth proportional to 512,824.81, 707,694.38 and 283,397.58 is: 391,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,824.81 : 707,694.38 = 283,397.58 : x
  2. Step 2: Convert to fraction form
    512,824.81/707,694.38 = 283,397.58/x
  3. Step 3: Cross multiply
    512,824.81x = 707,694.38 × 283,397.58
  4. Step 4: Simplify right side
    512,824.81x = 200,558,874,671.60
  5. Step 5: Solve for x
    x = 200,558,874,671.60/512,824.81
  6. Step 6: Final answer
    x = 391,086.53

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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.