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Finding the Fourth Proportional to 303,546.96, 455,342.49 and 116,558.46

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Solution

The fourth proportional to 303,546.96, 455,342.49 and 116,558.46 is: 174,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,546.96 : 455,342.49 = 116,558.46 : x
  2. Step 2: Convert to fraction form
    303,546.96/455,342.49 = 116,558.46/x
  3. Step 3: Cross multiply
    303,546.96x = 455,342.49 × 116,558.46
  4. Step 4: Simplify right side
    303,546.96x = 53,074,019,406.97
  5. Step 5: Solve for x
    x = 53,074,019,406.97/303,546.96
  6. Step 6: Final answer
    x = 174,846.16

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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.