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Finding the Fourth Proportional to 634,709.46, 952,067.43 and 213,988.98

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Solution

The fourth proportional to 634,709.46, 952,067.43 and 213,988.98 is: 320,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,709.46 : 952,067.43 = 213,988.98 : x
  2. Step 2: Convert to fraction form
    634,709.46/952,067.43 = 213,988.98/x
  3. Step 3: Cross multiply
    634,709.46x = 952,067.43 × 213,988.98
  4. Step 4: Simplify right side
    634,709.46x = 203,731,938,236.92
  5. Step 5: Solve for x
    x = 203,731,938,236.92/634,709.46
  6. Step 6: Final answer
    x = 320,984.56

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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.