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Finding the Fourth Proportional to 296,405.93, 444,610.01 and 71,766

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Solution

The fourth proportional to 296,405.93, 444,610.01 and 71,766 is: 107,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,405.93 : 444,610.01 = 71,766 : x
  2. Step 2: Convert to fraction form
    296,405.93/444,610.01 = 71,766/x
  3. Step 3: Cross multiply
    296,405.93x = 444,610.01 × 71,766
  4. Step 4: Simplify right side
    296,405.93x = 31,907,882,157.08
  5. Step 5: Solve for x
    x = 31,907,882,157.08/296,405.93
  6. Step 6: Final answer
    x = 107,649.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.