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Finding the Fourth Proportional to 512,573.78, 707,684.64 and 458,765.48

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Solution

The fourth proportional to 512,573.78, 707,684.64 and 458,765.48 is: 633,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,573.78 : 707,684.64 = 458,765.48 : x
  2. Step 2: Convert to fraction form
    512,573.78/707,684.64 = 458,765.48/x
  3. Step 3: Cross multiply
    512,573.78x = 707,684.64 × 458,765.48
  4. Step 4: Simplify right side
    512,573.78x = 324,661,283,558.23
  5. Step 5: Solve for x
    x = 324,661,283,558.23/512,573.78
  6. Step 6: Final answer
    x = 633,394.25

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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.