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Finding the Fourth Proportional to 307,711.49, 461,732.96 and 149,939.93

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Solution

The fourth proportional to 307,711.49, 461,732.96 and 149,939.93 is: 224,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711.49 : 461,732.96 = 149,939.93 : x
  2. Step 2: Convert to fraction form
    307,711.49/461,732.96 = 149,939.93/x
  3. Step 3: Cross multiply
    307,711.49x = 461,732.96 × 149,939.93
  4. Step 4: Simplify right side
    307,711.49x = 69,232,204,642.73
  5. Step 5: Solve for x
    x = 69,232,204,642.73/307,711.49
  6. Step 6: Final answer
    x = 224,990.64

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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.