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Finding the Fourth Proportional to 307,066.97, 460,600.46 and 119,947.25

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Solution

The fourth proportional to 307,066.97, 460,600.46 and 119,947.25 is: 179,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,066.97 : 460,600.46 = 119,947.25 : x
  2. Step 2: Convert to fraction form
    307,066.97/460,600.46 = 119,947.25/x
  3. Step 3: Cross multiply
    307,066.97x = 460,600.46 × 119,947.25
  4. Step 4: Simplify right side
    307,066.97x = 55,247,758,525.74
  5. Step 5: Solve for x
    x = 55,247,758,525.74/307,066.97
  6. Step 6: Final answer
    x = 179,920.88

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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.