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Finding the Fourth Proportional to 285,714.73, 428,632.03 and 108,217.81

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Solution

The fourth proportional to 285,714.73, 428,632.03 and 108,217.81 is: 162,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,714.73 : 428,632.03 = 108,217.81 : x
  2. Step 2: Convert to fraction form
    285,714.73/428,632.03 = 108,217.81/x
  3. Step 3: Cross multiply
    285,714.73x = 428,632.03 × 108,217.81
  4. Step 4: Simplify right side
    285,714.73x = 46,385,617,439.29
  5. Step 5: Solve for x
    x = 46,385,617,439.29/285,714.73
  6. Step 6: Final answer
    x = 162,349.41

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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.