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Finding the Fourth Proportional to 273,850.53, 410,417.93 and 198,203.78

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Solution

The fourth proportional to 273,850.53, 410,417.93 and 198,203.78 is: 297,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,850.53 : 410,417.93 = 198,203.78 : x
  2. Step 2: Convert to fraction form
    273,850.53/410,417.93 = 198,203.78/x
  3. Step 3: Cross multiply
    273,850.53x = 410,417.93 × 198,203.78
  4. Step 4: Simplify right side
    273,850.53x = 81,346,383,053.69
  5. Step 5: Solve for x
    x = 81,346,383,053.69/273,850.53
  6. Step 6: Final answer
    x = 297,046.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.