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Finding the Fourth Proportional to 507,997.43, 701,067.89 and 281,642.93

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Solution

The fourth proportional to 507,997.43, 701,067.89 and 281,642.93 is: 388,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,997.43 : 701,067.89 = 281,642.93 : x
  2. Step 2: Convert to fraction form
    507,997.43/701,067.89 = 281,642.93/x
  3. Step 3: Cross multiply
    507,997.43x = 701,067.89 × 281,642.93
  4. Step 4: Simplify right side
    507,997.43x = 197,450,814,496.29
  5. Step 5: Solve for x
    x = 197,450,814,496.29/507,997.43
  6. Step 6: Final answer
    x = 388,684.67

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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.