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Finding the Fourth Proportional to 307,064.97, 460,597.46 and 119,945.25

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Solution

The fourth proportional to 307,064.97, 460,597.46 and 119,945.25 is: 179,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,064.97 : 460,597.46 = 119,945.25 : x
  2. Step 2: Convert to fraction form
    307,064.97/460,597.46 = 119,945.25/x
  3. Step 3: Cross multiply
    307,064.97x = 460,597.46 × 119,945.25
  4. Step 4: Simplify right side
    307,064.97x = 55,246,477,489.07
  5. Step 5: Solve for x
    x = 55,246,477,489.07/307,064.97
  6. Step 6: Final answer
    x = 179,917.88

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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.