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Finding the Fourth Proportional to 397,711.43, 548,853.32 and 216,435.05

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Solution

The fourth proportional to 397,711.43, 548,853.32 and 216,435.05 is: 298,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.43 : 548,853.32 = 216,435.05 : x
  2. Step 2: Convert to fraction form
    397,711.43/548,853.32 = 216,435.05/x
  3. Step 3: Cross multiply
    397,711.43x = 548,853.32 × 216,435.05
  4. Step 4: Simplify right side
    397,711.43x = 118,791,097,481.74
  5. Step 5: Solve for x
    x = 118,791,097,481.74/397,711.43
  6. Step 6: Final answer
    x = 298,686.65

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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.