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Finding the Fourth Proportional to 307,946.40, 461,689.20 and 167,863.20

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Solution

The fourth proportional to 307,946.40, 461,689.20 and 167,863.20 is: 251,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,946.40 : 461,689.20 = 167,863.20 : x
  2. Step 2: Convert to fraction form
    307,946.40/461,689.20 = 167,863.20/x
  3. Step 3: Cross multiply
    307,946.40x = 461,689.20 × 167,863.20
  4. Step 4: Simplify right side
    307,946.40x = 77,500,626,517.44
  5. Step 5: Solve for x
    x = 77,500,626,517.44/307,946.40
  6. Step 6: Final answer
    x = 251,669.21

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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.