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Finding the Fourth Proportional to 397,644.62, 548,733.11 and 216,357.24

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Solution

The fourth proportional to 397,644.62, 548,733.11 and 216,357.24 is: 298,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,644.62 : 548,733.11 = 216,357.24 : x
  2. Step 2: Convert to fraction form
    397,644.62/548,733.11 = 216,357.24/x
  3. Step 3: Cross multiply
    397,644.62x = 548,733.11 × 216,357.24
  4. Step 4: Simplify right side
    397,644.62x = 118,722,381,717.11
  5. Step 5: Solve for x
    x = 118,722,381,717.11/397,644.62
  6. Step 6: Final answer
    x = 298,564.04

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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.