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Finding the Fourth Proportional to 304,199.16, 455,976.97 and 114,577.48

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Solution

The fourth proportional to 304,199.16, 455,976.97 and 114,577.48 is: 171,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,199.16 : 455,976.97 = 114,577.48 : x
  2. Step 2: Convert to fraction form
    304,199.16/455,976.97 = 114,577.48/x
  3. Step 3: Cross multiply
    304,199.16x = 455,976.97 × 114,577.48
  4. Step 4: Simplify right side
    304,199.16x = 52,244,693,725.87
  5. Step 5: Solve for x
    x = 52,244,693,725.87/304,199.16
  6. Step 6: Final answer
    x = 171,745.03

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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.