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Finding the Fourth Proportional to 296,080.44, 444,116.82 and 71,438.98

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Solution

The fourth proportional to 296,080.44, 444,116.82 and 71,438.98 is: 107,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,080.44 : 444,116.82 = 71,438.98 : x
  2. Step 2: Convert to fraction form
    296,080.44/444,116.82 = 71,438.98/x
  3. Step 3: Cross multiply
    296,080.44x = 444,116.82 × 71,438.98
  4. Step 4: Simplify right side
    296,080.44x = 31,727,252,621.64
  5. Step 5: Solve for x
    x = 31,727,252,621.64/296,080.44
  6. Step 6: Final answer
    x = 107,157.54

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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.