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Finding the Fourth Proportional to 397,657.35, 548,769.42 and 216,370.53

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Solution

The fourth proportional to 397,657.35, 548,769.42 and 216,370.53 is: 298,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,657.35 : 548,769.42 = 216,370.53 : x
  2. Step 2: Convert to fraction form
    397,657.35/548,769.42 = 216,370.53/x
  3. Step 3: Cross multiply
    397,657.35x = 548,769.42 × 216,370.53
  4. Step 4: Simplify right side
    397,657.35x = 118,737,530,253.19
  5. Step 5: Solve for x
    x = 118,737,530,253.19/397,657.35
  6. Step 6: Final answer
    x = 298,592.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.