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Finding the Fourth Proportional to 307,433.49, 461,215.89 and 107,766.06

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Solution

The fourth proportional to 307,433.49, 461,215.89 and 107,766.06 is: 161,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,433.49 : 461,215.89 = 107,766.06 : x
  2. Step 2: Convert to fraction form
    307,433.49/461,215.89 = 107,766.06/x
  3. Step 3: Cross multiply
    307,433.49x = 461,215.89 × 107,766.06
  4. Step 4: Simplify right side
    307,433.49x = 49,703,419,274.69
  5. Step 5: Solve for x
    x = 49,703,419,274.69/307,433.49
  6. Step 6: Final answer
    x = 161,672.10

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1.5x scale

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.