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Finding the Fourth Proportional to 312,837.96, 431,713.62 and 175,015.38

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Solution

The fourth proportional to 312,837.96, 431,713.62 and 175,015.38 is: 241,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,837.96 : 431,713.62 = 175,015.38 : x
  2. Step 2: Convert to fraction form
    312,837.96/431,713.62 = 175,015.38/x
  3. Step 3: Cross multiply
    312,837.96x = 431,713.62 × 175,015.38
  4. Step 4: Simplify right side
    312,837.96x = 75,556,523,255.48
  5. Step 5: Solve for x
    x = 75,556,523,255.48/312,837.96
  6. Step 6: Final answer
    x = 241,519.68

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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.