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Finding the Fourth Proportional to 456,310.77, 629,793.09 and 293,171.21

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Solution

The fourth proportional to 456,310.77, 629,793.09 and 293,171.21 is: 404,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,310.77 : 629,793.09 = 293,171.21 : x
  2. Step 2: Convert to fraction form
    456,310.77/629,793.09 = 293,171.21/x
  3. Step 3: Cross multiply
    456,310.77x = 629,793.09 × 293,171.21
  4. Step 4: Simplify right side
    456,310.77x = 184,637,199,095.97
  5. Step 5: Solve for x
    x = 184,637,199,095.97/456,310.77
  6. Step 6: Final answer
    x = 404,630.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.