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Finding the Fourth Proportional to 512,105.22, 707,038.07 and 458,297.73

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Solution

The fourth proportional to 512,105.22, 707,038.07 and 458,297.73 is: 632,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,105.22 : 707,038.07 = 458,297.73 : x
  2. Step 2: Convert to fraction form
    512,105.22/707,038.07 = 458,297.73/x
  3. Step 3: Cross multiply
    512,105.22x = 707,038.07 × 458,297.73
  4. Step 4: Simplify right side
    512,105.22x = 324,033,940,213.09
  5. Step 5: Solve for x
    x = 324,033,940,213.09/512,105.22
  6. Step 6: Final answer
    x = 632,748.75

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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.