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Finding the Fourth Proportional to 307,099.44, 460,539 and 117,613.08

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Solution

The fourth proportional to 307,099.44, 460,539 and 117,613.08 is: 176,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,099.44 : 460,539 = 117,613.08 : x
  2. Step 2: Convert to fraction form
    307,099.44/460,539 = 117,613.08/x
  3. Step 3: Cross multiply
    307,099.44x = 460,539 × 117,613.08
  4. Step 4: Simplify right side
    307,099.44x = 54,165,410,250.12
  5. Step 5: Solve for x
    x = 54,165,410,250.12/307,099.44
  6. Step 6: Final answer
    x = 176,377.43

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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.