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Finding the Fourth Proportional to 303,843.46, 419,218.64 and 174,775.18

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Solution

The fourth proportional to 303,843.46, 419,218.64 and 174,775.18 is: 241,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,843.46 : 419,218.64 = 174,775.18 : x
  2. Step 2: Convert to fraction form
    303,843.46/419,218.64 = 174,775.18/x
  3. Step 3: Cross multiply
    303,843.46x = 419,218.64 × 174,775.18
  4. Step 4: Simplify right side
    303,843.46x = 73,269,013,265.36
  5. Step 5: Solve for x
    x = 73,269,013,265.36/303,843.46
  6. Step 6: Final answer
    x = 241,140.66

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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.