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Finding the Fourth Proportional to 397,793.17, 548,954.58 and 216,506.41

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Solution

The fourth proportional to 397,793.17, 548,954.58 and 216,506.41 is: 298,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,793.17 : 548,954.58 = 216,506.41 : x
  2. Step 2: Convert to fraction form
    397,793.17/548,954.58 = 216,506.41/x
  3. Step 3: Cross multiply
    397,793.17x = 548,954.58 × 216,506.41
  4. Step 4: Simplify right side
    397,793.17x = 118,852,185,368.86
  5. Step 5: Solve for x
    x = 118,852,185,368.86/397,793.17
  6. Step 6: Final answer
    x = 298,778.85

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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.