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Finding the Fourth Proportional to 273,742.80, 410,614.20 and 242,638.80

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Solution

The fourth proportional to 273,742.80, 410,614.20 and 242,638.80 is: 363,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,742.80 : 410,614.20 = 242,638.80 : x
  2. Step 2: Convert to fraction form
    273,742.80/410,614.20 = 242,638.80/x
  3. Step 3: Cross multiply
    273,742.80x = 410,614.20 × 242,638.80
  4. Step 4: Simplify right side
    273,742.80x = 99,630,936,750.96
  5. Step 5: Solve for x
    x = 99,630,936,750.96/273,742.80
  6. Step 6: Final answer
    x = 363,958.20

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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.