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Finding the Fourth Proportional to 512,883.87, 707,742.66 and 283,438.41

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Solution

The fourth proportional to 512,883.87, 707,742.66 and 283,438.41 is: 391,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,883.87 : 707,742.66 = 283,438.41 : x
  2. Step 2: Convert to fraction form
    512,883.87/707,742.66 = 283,438.41/x
  3. Step 3: Cross multiply
    512,883.87x = 707,742.66 × 283,438.41
  4. Step 4: Simplify right side
    512,883.87x = 200,601,454,239.57
  5. Step 5: Solve for x
    x = 200,601,454,239.57/512,883.87
  6. Step 6: Final answer
    x = 391,124.51

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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.