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Finding the Fourth Proportional to 397,641.20, 548,728.43 and 216,353.86

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Solution

The fourth proportional to 397,641.20, 548,728.43 and 216,353.86 is: 298,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,641.20 : 548,728.43 = 216,353.86 : x
  2. Step 2: Convert to fraction form
    397,641.20/548,728.43 = 216,353.86/x
  3. Step 3: Cross multiply
    397,641.20x = 548,728.43 × 216,353.86
  4. Step 4: Simplify right side
    397,641.20x = 118,719,511,468.65
  5. Step 5: Solve for x
    x = 118,719,511,468.65/397,641.20
  6. Step 6: Final answer
    x = 298,559.39

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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.