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Finding the Fourth Proportional to 397,650.98, 548,760.72 and 216,364.17

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Solution

The fourth proportional to 397,650.98, 548,760.72 and 216,364.17 is: 298,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,650.98 : 548,760.72 = 216,364.17 : x
  2. Step 2: Convert to fraction form
    397,650.98/548,760.72 = 216,364.17/x
  3. Step 3: Cross multiply
    397,650.98x = 548,760.72 × 216,364.17
  4. Step 4: Simplify right side
    397,650.98x = 118,732,160,580.62
  5. Step 5: Solve for x
    x = 118,732,160,580.62/397,650.98
  6. Step 6: Final answer
    x = 298,583.85

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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.