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Finding the Fourth Proportional to 304,477.20, 456,744.60 and 82,861.20

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Solution

The fourth proportional to 304,477.20, 456,744.60 and 82,861.20 is: 124,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,477.20 : 456,744.60 = 82,861.20 : x
  2. Step 2: Convert to fraction form
    304,477.20/456,744.60 = 82,861.20/x
  3. Step 3: Cross multiply
    304,477.20x = 456,744.60 × 82,861.20
  4. Step 4: Simplify right side
    304,477.20x = 37,846,405,649.52
  5. Step 5: Solve for x
    x = 37,846,405,649.52/304,477.20
  6. Step 6: Final answer
    x = 124,299.64

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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.