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Finding the Fourth Proportional to 334,994.80, 502,492.20 and 311,375.20

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Solution

The fourth proportional to 334,994.80, 502,492.20 and 311,375.20 is: 467,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,994.80 : 502,492.20 = 311,375.20 : x
  2. Step 2: Convert to fraction form
    334,994.80/502,492.20 = 311,375.20/x
  3. Step 3: Cross multiply
    334,994.80x = 502,492.20 × 311,375.20
  4. Step 4: Simplify right side
    334,994.80x = 156,463,609,273.44
  5. Step 5: Solve for x
    x = 156,463,609,273.44/334,994.80
  6. Step 6: Final answer
    x = 467,062.80

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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.