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Finding the Fourth Proportional to 301,591.31, 416,229.17 and 172,541.75

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Solution

The fourth proportional to 301,591.31, 416,229.17 and 172,541.75 is: 238,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,591.31 : 416,229.17 = 172,541.75 : x
  2. Step 2: Convert to fraction form
    301,591.31/416,229.17 = 172,541.75/x
  3. Step 3: Cross multiply
    301,591.31x = 416,229.17 × 172,541.75
  4. Step 4: Simplify right side
    301,591.31x = 71,816,906,448.99
  5. Step 5: Solve for x
    x = 71,816,906,448.99/301,591.31
  6. Step 6: Final answer
    x = 238,126.58

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1.5x scale

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.