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Finding the Fourth Proportional to 273,697.10, 410,200.05 and 242,593.10

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Solution

The fourth proportional to 273,697.10, 410,200.05 and 242,593.10 is: 363,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,697.10 : 410,200.05 = 242,593.10 : x
  2. Step 2: Convert to fraction form
    273,697.10/410,200.05 = 242,593.10/x
  3. Step 3: Cross multiply
    273,697.10x = 410,200.05 × 242,593.10
  4. Step 4: Simplify right side
    273,697.10x = 99,511,701,749.66
  5. Step 5: Solve for x
    x = 99,511,701,749.66/273,697.10
  6. Step 6: Final answer
    x = 363,583.33

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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.