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Finding the Fourth Proportional to 293,811.44, 405,459.96 and 159,675.44

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Solution

The fourth proportional to 293,811.44, 405,459.96 and 159,675.44 is: 220,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,811.44 : 405,459.96 = 159,675.44 : x
  2. Step 2: Convert to fraction form
    293,811.44/405,459.96 = 159,675.44/x
  3. Step 3: Cross multiply
    293,811.44x = 405,459.96 × 159,675.44
  4. Step 4: Simplify right side
    293,811.44x = 64,741,997,515.38
  5. Step 5: Solve for x
    x = 64,741,997,515.38/293,811.44
  6. Step 6: Final answer
    x = 220,352.20

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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.