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Finding the Fourth Proportional to 307,395.42, 461,133.45 and 120,382.62

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Solution

The fourth proportional to 307,395.42, 461,133.45 and 120,382.62 is: 180,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,395.42 : 461,133.45 = 120,382.62 : x
  2. Step 2: Convert to fraction form
    307,395.42/461,133.45 = 120,382.62/x
  3. Step 3: Cross multiply
    307,395.42x = 461,133.45 × 120,382.62
  4. Step 4: Simplify right side
    307,395.42x = 55,512,452,880.64
  5. Step 5: Solve for x
    x = 55,512,452,880.64/307,395.42
  6. Step 6: Final answer
    x = 180,589.72

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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.