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Finding the Fourth Proportional to 397,756.89, 548,893.98 and 216,464.92

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Solution

The fourth proportional to 397,756.89, 548,893.98 and 216,464.92 is: 298,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,756.89 : 548,893.98 = 216,464.92 : x
  2. Step 2: Convert to fraction form
    397,756.89/548,893.98 = 216,464.92/x
  3. Step 3: Cross multiply
    397,756.89x = 548,893.98 × 216,464.92
  4. Step 4: Simplify right side
    397,756.89x = 118,816,291,469.18
  5. Step 5: Solve for x
    x = 118,816,291,469.18/397,756.89
  6. Step 6: Final answer
    x = 298,715.86

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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.