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Finding the Fourth Proportional to 285,846.44, 428,318.50 and 105,684.64

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Solution

The fourth proportional to 285,846.44, 428,318.50 and 105,684.64 is: 158,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.44 : 428,318.50 = 105,684.64 : x
  2. Step 2: Convert to fraction form
    285,846.44/428,318.50 = 105,684.64/x
  3. Step 3: Cross multiply
    285,846.44x = 428,318.50 × 105,684.64
  4. Step 4: Simplify right side
    285,846.44x = 45,266,686,477.84
  5. Step 5: Solve for x
    x = 45,266,686,477.84/285,846.44
  6. Step 6: Final answer
    x = 158,360.15

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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.