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Finding the Fourth Proportional to 267,991.20, 401,513.76 and 162,596.16

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Solution

The fourth proportional to 267,991.20, 401,513.76 and 162,596.16 is: 243,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,991.20 : 401,513.76 = 162,596.16 : x
  2. Step 2: Convert to fraction form
    267,991.20/401,513.76 = 162,596.16/x
  3. Step 3: Cross multiply
    267,991.20x = 401,513.76 × 162,596.16
  4. Step 4: Simplify right side
    267,991.20x = 65,284,595,563.16
  5. Step 5: Solve for x
    x = 65,284,595,563.16/267,991.20
  6. Step 6: Final answer
    x = 243,607.24

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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.