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Finding the Fourth Proportional to 397,315.38, 548,291.36 and 216,027.31

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Solution

The fourth proportional to 397,315.38, 548,291.36 and 216,027.31 is: 298,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,315.38 : 548,291.36 = 216,027.31 : x
  2. Step 2: Convert to fraction form
    397,315.38/548,291.36 = 216,027.31/x
  3. Step 3: Cross multiply
    397,315.38x = 548,291.36 × 216,027.31
  4. Step 4: Simplify right side
    397,315.38x = 118,445,906,579.27
  5. Step 5: Solve for x
    x = 118,445,906,579.27/397,315.38
  6. Step 6: Final answer
    x = 298,115.58

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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.