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Finding the Fourth Proportional to 315,175.14, 436,781.72 and 309,194.10

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Solution

The fourth proportional to 315,175.14, 436,781.72 and 309,194.10 is: 428,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175.14 : 436,781.72 = 309,194.10 : x
  2. Step 2: Convert to fraction form
    315,175.14/436,781.72 = 309,194.10/x
  3. Step 3: Cross multiply
    315,175.14x = 436,781.72 × 309,194.10
  4. Step 4: Simplify right side
    315,175.14x = 135,050,329,265.88
  5. Step 5: Solve for x
    x = 135,050,329,265.88/315,175.14
  6. Step 6: Final answer
    x = 428,492.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.