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Finding the Fourth Proportional to 306,664.80, 459,122.40 and 271,672.80

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Solution

The fourth proportional to 306,664.80, 459,122.40 and 271,672.80 is: 406,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,664.80 : 459,122.40 = 271,672.80 : x
  2. Step 2: Convert to fraction form
    306,664.80/459,122.40 = 271,672.80/x
  3. Step 3: Cross multiply
    306,664.80x = 459,122.40 × 271,672.80
  4. Step 4: Simplify right side
    306,664.80x = 124,731,067,950.72
  5. Step 5: Solve for x
    x = 124,731,067,950.72/306,664.80
  6. Step 6: Final answer
    x = 406,734.22

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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.