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Finding the Fourth Proportional to 310,647.68, 428,691.60 and 176,511.68

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Solution

The fourth proportional to 310,647.68, 428,691.60 and 176,511.68 is: 243,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,647.68 : 428,691.60 = 176,511.68 : x
  2. Step 2: Convert to fraction form
    310,647.68/428,691.60 = 176,511.68/x
  3. Step 3: Cross multiply
    310,647.68x = 428,691.60 × 176,511.68
  4. Step 4: Simplify right side
    310,647.68x = 75,669,074,517.89
  5. Step 5: Solve for x
    x = 75,669,074,517.89/310,647.68
  6. Step 6: Final answer
    x = 243,584.87

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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.