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Finding the Fourth Proportional to 307,052.46, 460,515.17 and 82,359.44

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Solution

The fourth proportional to 307,052.46, 460,515.17 and 82,359.44 is: 123,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,052.46 : 460,515.17 = 82,359.44 : x
  2. Step 2: Convert to fraction form
    307,052.46/460,515.17 = 82,359.44/x
  3. Step 3: Cross multiply
    307,052.46x = 460,515.17 × 82,359.44
  4. Step 4: Simplify right side
    307,052.46x = 37,927,768,798.33
  5. Step 5: Solve for x
    x = 37,927,768,798.33/307,052.46
  6. Step 6: Final answer
    x = 123,522.11

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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.