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Finding the Fourth Proportional to 291,166.98, 436,305.78 and 196,045.84

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Solution

The fourth proportional to 291,166.98, 436,305.78 and 196,045.84 is: 293,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,166.98 : 436,305.78 = 196,045.84 : x
  2. Step 2: Convert to fraction form
    291,166.98/436,305.78 = 196,045.84/x
  3. Step 3: Cross multiply
    291,166.98x = 436,305.78 × 196,045.84
  4. Step 4: Simplify right side
    291,166.98x = 85,535,933,136.96
  5. Step 5: Solve for x
    x = 85,535,933,136.96/291,166.98
  6. Step 6: Final answer
    x = 293,769.35

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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.