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Finding the Fourth Proportional to 397,333.54, 548,327.14 and 216,046.70

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Solution

The fourth proportional to 397,333.54, 548,327.14 and 216,046.70 is: 298,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,333.54 : 548,327.14 = 216,046.70 : x
  2. Step 2: Convert to fraction form
    397,333.54/548,327.14 = 216,046.70/x
  3. Step 3: Cross multiply
    397,333.54x = 548,327.14 × 216,046.70
  4. Step 4: Simplify right side
    397,333.54x = 118,464,269,117.44
  5. Step 5: Solve for x
    x = 118,464,269,117.44/397,333.54
  6. Step 6: Final answer
    x = 298,148.17

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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.