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Finding the Fourth Proportional to 289,162.24, 398,952.96 and 161,817.60

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Solution

The fourth proportional to 289,162.24, 398,952.96 and 161,817.60 is: 223,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.24 : 398,952.96 = 161,817.60 : x
  2. Step 2: Convert to fraction form
    289,162.24/398,952.96 = 161,817.60/x
  3. Step 3: Cross multiply
    289,162.24x = 398,952.96 × 161,817.60
  4. Step 4: Simplify right side
    289,162.24x = 64,557,610,500.10
  5. Step 5: Solve for x
    x = 64,557,610,500.10/289,162.24
  6. Step 6: Final answer
    x = 223,257.40

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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.