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Finding the Fourth Proportional to 296,556.30, 444,742.44 and 106,992.02

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Solution

The fourth proportional to 296,556.30, 444,742.44 and 106,992.02 is: 160,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,556.30 : 444,742.44 = 106,992.02 : x
  2. Step 2: Convert to fraction form
    296,556.30/444,742.44 = 106,992.02/x
  3. Step 3: Cross multiply
    296,556.30x = 444,742.44 × 106,992.02
  4. Step 4: Simplify right side
    296,556.30x = 47,583,889,276.66
  5. Step 5: Solve for x
    x = 47,583,889,276.66/296,556.30
  6. Step 6: Final answer
    x = 160,454.83

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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.