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Finding the Fourth Proportional to 397,058.31, 595,324.17 and 144,308.77

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Solution

The fourth proportional to 397,058.31, 595,324.17 and 144,308.77 is: 216,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,058.31 : 595,324.17 = 144,308.77 : x
  2. Step 2: Convert to fraction form
    397,058.31/595,324.17 = 144,308.77/x
  3. Step 3: Cross multiply
    397,058.31x = 595,324.17 × 144,308.77
  4. Step 4: Simplify right side
    397,058.31x = 85,910,498,723.97
  5. Step 5: Solve for x
    x = 85,910,498,723.97/397,058.31
  6. Step 6: Final answer
    x = 216,367.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.