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Finding the Fourth Proportional to 415,058.97, 622,526.49 and 115,508.32

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Solution

The fourth proportional to 415,058.97, 622,526.49 and 115,508.32 is: 173,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,058.97 : 622,526.49 = 115,508.32 : x
  2. Step 2: Convert to fraction form
    415,058.97/622,526.49 = 115,508.32/x
  3. Step 3: Cross multiply
    415,058.97x = 622,526.49 × 115,508.32
  4. Step 4: Simplify right side
    415,058.97x = 71,906,989,015.40
  5. Step 5: Solve for x
    x = 71,906,989,015.40/415,058.97
  6. Step 6: Final answer
    x = 173,245.24

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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.