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Finding the Fourth Proportional to 650,849.96, 976,369.98 and 201,611

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Solution

The fourth proportional to 650,849.96, 976,369.98 and 201,611 is: 302,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,849.96 : 976,369.98 = 201,611 : x
  2. Step 2: Convert to fraction form
    650,849.96/976,369.98 = 201,611/x
  3. Step 3: Cross multiply
    650,849.96x = 976,369.98 × 201,611
  4. Step 4: Simplify right side
    650,849.96x = 196,846,928,037.78
  5. Step 5: Solve for x
    x = 196,846,928,037.78/650,849.96
  6. Step 6: Final answer
    x = 302,445.94

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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.