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Finding the Fourth Proportional to 301,713.66, 416,305.93 and 172,691.60

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Solution

The fourth proportional to 301,713.66, 416,305.93 and 172,691.60 is: 238,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713.66 : 416,305.93 = 172,691.60 : x
  2. Step 2: Convert to fraction form
    301,713.66/416,305.93 = 172,691.60/x
  3. Step 3: Cross multiply
    301,713.66x = 416,305.93 × 172,691.60
  4. Step 4: Simplify right side
    301,713.66x = 71,892,534,951.73
  5. Step 5: Solve for x
    x = 71,892,534,951.73/301,713.66
  6. Step 6: Final answer
    x = 238,280.68

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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.