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Finding the Fourth Proportional to 362,419.64, 541,188.76 and 295,991.54

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Solution

The fourth proportional to 362,419.64, 541,188.76 and 295,991.54 is: 441,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,419.64 : 541,188.76 = 295,991.54 : x
  2. Step 2: Convert to fraction form
    362,419.64/541,188.76 = 295,991.54/x
  3. Step 3: Cross multiply
    362,419.64x = 541,188.76 × 295,991.54
  4. Step 4: Simplify right side
    362,419.64x = 160,187,294,503.09
  5. Step 5: Solve for x
    x = 160,187,294,503.09/362,419.64
  6. Step 6: Final answer
    x = 441,993.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.