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Finding the Fourth Proportional to 303,841.76, 419,310.08 and 167,884.46

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Solution

The fourth proportional to 303,841.76, 419,310.08 and 167,884.46 is: 231,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,841.76 : 419,310.08 = 167,884.46 : x
  2. Step 2: Convert to fraction form
    303,841.76/419,310.08 = 167,884.46/x
  3. Step 3: Cross multiply
    303,841.76x = 419,310.08 × 167,884.46
  4. Step 4: Simplify right side
    303,841.76x = 70,395,643,417.38
  5. Step 5: Solve for x
    x = 70,395,643,417.38/303,841.76
  6. Step 6: Final answer
    x = 231,685.22

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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.