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Finding the Fourth Proportional to 307,454.50, 424,287.22 and 173,318.50

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Solution

The fourth proportional to 307,454.50, 424,287.22 and 173,318.50 is: 239,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,454.50 : 424,287.22 = 173,318.50 : x
  2. Step 2: Convert to fraction form
    307,454.50/424,287.22 = 173,318.50/x
  3. Step 3: Cross multiply
    307,454.50x = 424,287.22 × 173,318.50
  4. Step 4: Simplify right side
    307,454.50x = 73,536,824,539.57
  5. Step 5: Solve for x
    x = 73,536,824,539.57/307,454.50
  6. Step 6: Final answer
    x = 239,179.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.