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Finding the Fourth Proportional to 307,262.56, 460,932.72 and 149,357.92

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Solution

The fourth proportional to 307,262.56, 460,932.72 and 149,357.92 is: 224,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,262.56 : 460,932.72 = 149,357.92 : x
  2. Step 2: Convert to fraction form
    307,262.56/460,932.72 = 149,357.92/x
  3. Step 3: Cross multiply
    307,262.56x = 460,932.72 × 149,357.92
  4. Step 4: Simplify right side
    307,262.56x = 68,843,952,319.14
  5. Step 5: Solve for x
    x = 68,843,952,319.14/307,262.56
  6. Step 6: Final answer
    x = 224,055.78

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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.