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Finding the Fourth Proportional to 394,906.24, 544,983.20 and 216,058.24

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Solution

The fourth proportional to 394,906.24, 544,983.20 and 216,058.24 is: 298,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,906.24 : 544,983.20 = 216,058.24 : x
  2. Step 2: Convert to fraction form
    394,906.24/544,983.20 = 216,058.24/x
  3. Step 3: Cross multiply
    394,906.24x = 544,983.20 × 216,058.24
  4. Step 4: Simplify right side
    394,906.24x = 117,748,111,021.57
  5. Step 5: Solve for x
    x = 117,748,111,021.57/394,906.24
  6. Step 6: Final answer
    x = 298,167.26

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1.5x scale

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.