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Finding the Fourth Proportional to 307,064.52, 460,596.75 and 119,944.80

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Solution

The fourth proportional to 307,064.52, 460,596.75 and 119,944.80 is: 179,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,064.52 : 460,596.75 = 119,944.80 : x
  2. Step 2: Convert to fraction form
    307,064.52/460,596.75 = 119,944.80/x
  3. Step 3: Cross multiply
    307,064.52x = 460,596.75 × 119,944.80
  4. Step 4: Simplify right side
    307,064.52x = 55,246,185,059.40
  5. Step 5: Solve for x
    x = 55,246,185,059.40/307,064.52
  6. Step 6: Final answer
    x = 179,917.19

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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.