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Finding the Fourth Proportional to 301,591.56, 416,180.12 and 172,532.60

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Solution

The fourth proportional to 301,591.56, 416,180.12 and 172,532.60 is: 238,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,591.56 : 416,180.12 = 172,532.60 : x
  2. Step 2: Convert to fraction form
    301,591.56/416,180.12 = 172,532.60/x
  3. Step 3: Cross multiply
    301,591.56x = 416,180.12 × 172,532.60
  4. Step 4: Simplify right side
    301,591.56x = 71,804,635,228.35
  5. Step 5: Solve for x
    x = 71,804,635,228.35/301,591.56
  6. Step 6: Final answer
    x = 238,085.69

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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.