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Finding the Fourth Proportional to 362,157.72, 543,769.83 and 202,546.37

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Solution

The fourth proportional to 362,157.72, 543,769.83 and 202,546.37 is: 304,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,157.72 : 543,769.83 = 202,546.37 : x
  2. Step 2: Convert to fraction form
    362,157.72/543,769.83 = 202,546.37/x
  3. Step 3: Cross multiply
    362,157.72x = 543,769.83 × 202,546.37
  4. Step 4: Simplify right side
    362,157.72x = 110,138,602,463.17
  5. Step 5: Solve for x
    x = 110,138,602,463.17/362,157.72
  6. Step 6: Final answer
    x = 304,117.78

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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.