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Finding the Fourth Proportional to 285,716.73, 428,635.04 and 108,219.81

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Solution

The fourth proportional to 285,716.73, 428,635.04 and 108,219.81 is: 162,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,716.73 : 428,635.04 = 108,219.81 : x
  2. Step 2: Convert to fraction form
    285,716.73/428,635.04 = 108,219.81/x
  3. Step 3: Cross multiply
    285,716.73x = 428,635.04 × 108,219.81
  4. Step 4: Simplify right side
    285,716.73x = 46,386,802,588.14
  5. Step 5: Solve for x
    x = 46,386,802,588.14/285,716.73
  6. Step 6: Final answer
    x = 162,352.42

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Why These Related Problems?

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