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Finding the Fourth Proportional to 285,517.53, 428,338.94 and 85,855.77

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Solution

The fourth proportional to 285,517.53, 428,338.94 and 85,855.77 is: 128,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,517.53 : 428,338.94 = 85,855.77 : x
  2. Step 2: Convert to fraction form
    285,517.53/428,338.94 = 85,855.77/x
  3. Step 3: Cross multiply
    285,517.53x = 428,338.94 × 85,855.77
  4. Step 4: Simplify right side
    285,517.53x = 36,775,369,085.41
  5. Step 5: Solve for x
    x = 36,775,369,085.41/285,517.53
  6. Step 6: Final answer
    x = 128,802.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.