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Finding the Fourth Proportional to 303,584.82, 455,399.10 and 116,596.32

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Solution

The fourth proportional to 303,584.82, 455,399.10 and 116,596.32 is: 174,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,584.82 : 455,399.10 = 116,596.32 : x
  2. Step 2: Convert to fraction form
    303,584.82/455,399.10 = 116,596.32/x
  3. Step 3: Cross multiply
    303,584.82x = 455,399.10 × 116,596.32
  4. Step 4: Simplify right side
    303,584.82x = 53,097,859,191.31
  5. Step 5: Solve for x
    x = 53,097,859,191.31/303,584.82
  6. Step 6: Final answer
    x = 174,902.88

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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.