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Finding the Fourth Proportional to 307,687.46, 460,637.37 and 179,212.01

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Solution

The fourth proportional to 307,687.46, 460,637.37 and 179,212.01 is: 268,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,687.46 : 460,637.37 = 179,212.01 : x
  2. Step 2: Convert to fraction form
    307,687.46/460,637.37 = 179,212.01/x
  3. Step 3: Cross multiply
    307,687.46x = 460,637.37 × 179,212.01
  4. Step 4: Simplify right side
    307,687.46x = 82,551,746,655.63
  5. Step 5: Solve for x
    x = 82,551,746,655.63/307,687.46
  6. Step 6: Final answer
    x = 268,297.41

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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.