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Finding the Fourth Proportional to 301,673.27, 416,264.00 and 172,591.24

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Solution

The fourth proportional to 301,673.27, 416,264.00 and 172,591.24 is: 238,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,673.27 : 416,264.00 = 172,591.24 : x
  2. Step 2: Convert to fraction form
    301,673.27/416,264.00 = 172,591.24/x
  3. Step 3: Cross multiply
    301,673.27x = 416,264.00 × 172,591.24
  4. Step 4: Simplify right side
    301,673.27x = 71,843,519,974.98
  5. Step 5: Solve for x
    x = 71,843,519,974.98/301,673.27
  6. Step 6: Final answer
    x = 238,150.10

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