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Finding the Fourth Proportional to 536,041.44, 804,035.76 and 199,147.68

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Solution

The fourth proportional to 536,041.44, 804,035.76 and 199,147.68 is: 298,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,041.44 : 804,035.76 = 199,147.68 : x
  2. Step 2: Convert to fraction form
    536,041.44/804,035.76 = 199,147.68/x
  3. Step 3: Cross multiply
    536,041.44x = 804,035.76 × 199,147.68
  4. Step 4: Simplify right side
    536,041.44x = 160,121,856,241.04
  5. Step 5: Solve for x
    x = 160,121,856,241.04/536,041.44
  6. Step 6: Final answer
    x = 298,711.71

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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.