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Finding the Fourth Proportional to 230,459.20, 344,997.60 and 202,811.20

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Solution

The fourth proportional to 230,459.20, 344,997.60 and 202,811.20 is: 303,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,459.20 : 344,997.60 = 202,811.20 : x
  2. Step 2: Convert to fraction form
    230,459.20/344,997.60 = 202,811.20/x
  3. Step 3: Cross multiply
    230,459.20x = 344,997.60 × 202,811.20
  4. Step 4: Simplify right side
    230,459.20x = 69,969,377,253.12
  5. Step 5: Solve for x
    x = 69,969,377,253.12/230,459.20
  6. Step 6: Final answer
    x = 303,608.52

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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.