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Finding the Fourth Proportional to 303,811.80, 419,284.80 and 167,857.68

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Solution

The fourth proportional to 303,811.80, 419,284.80 and 167,857.68 is: 231,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,811.80 : 419,284.80 = 167,857.68 : x
  2. Step 2: Convert to fraction form
    303,811.80/419,284.80 = 167,857.68/x
  3. Step 3: Cross multiply
    303,811.80x = 419,284.80 × 167,857.68
  4. Step 4: Simplify right side
    303,811.80x = 70,380,173,787.26
  5. Step 5: Solve for x
    x = 70,380,173,787.26/303,811.80
  6. Step 6: Final answer
    x = 231,657.14

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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.